{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to Image Processing  <img src='data/images/logo.png' width=50 align='left'> \n",
    "\n",
    "author: Thomas Haslwanter\\\n",
    "date: June-2020"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Getting Ready"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Most of the software typically used for image processing, like *scipy*, *scikit-image*, *PIL*,  already comes installed with the major Python distributions.\n",
    "\n",
    "*[OpenCV](http://www.opencv.org/)*, however, (which is a terrific program but not necessaritly required for this Notebook) often has to be installed by hand:\n",
    "\n",
    "- On Windows machines, it is best to download the corresponding compiled *OpenCV*-package from [Christoph Gohlke](http://www.lfd.uci.edu/~gohlke/pythonlibs/) to your machine, and install it with *pip install [package]*.\n",
    "- On Linux machines (and also on OSC) you should use *Anaconda*, and install *OpenCV* with\n",
    "\n",
    "    conda install -c menpo opencv3\n",
    "\n",
    "\n",
    "**Note:** the *OpenCV*-version of Christoph Gohlke does not contain all modules. Especially, the module [bioinspired](http://docs.opencv.org/3.0-beta/modules/bioinspired/doc/bioinspired.html) - which is a simulation of the retina - is not included. The easiest way to get this one to run on a Windows machine is to use *Anaconda*, and install *OpenCV* as described above."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Representation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Images are typically not represented as 64-bit float numbers. Instead, to save space, typically 8-bit unsigned integers are used, giving us 256 gray-levels. However, watch out when working with unsigned integers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[250 251 252 253 254 255   0   1   2   3]\n"
     ]
    }
   ],
   "source": [
    "# Watch out for overflow when working with unsigned integers!!\n",
    "x = np.arange(10, dtype=np.uint8)\n",
    "print(x+250)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Where is up?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"data\\images\\WhichWayUp.png\" style=\"width: 600px;\" align=\"left\"/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are used to representing 2d maps with x/y coordinates, the first denoting horixontal, from left to right, and the second denoting vertical, from down to up.\n",
    "\n",
    "However, when we index matrices, the first index denotes the rows, from top to bottom; and the second index the columns, from left to right:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAATcAAAD8CAYAAAASeuPxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAATqklEQVR4nO3db4wd1X3G8e9TAlRNkQI1uPxxioNMVPyCbWORSiipKSW4qKqhklP7ReS2KCaSUf+oL4rTqKBKlmgbiirREC0C2UiJjVviYEXU4FhVUKWksCauYxNcDDiweGXHkDSkRI7W++uLO1cMy707M3vn7p05+3ykq3vn3LkzZ3alR2fmzJyjiMDMLDW/MOoKmJkNg8PNzJLkcDOzJDnczCxJDjczS5LDzcySNLRwk7RG0lFJxyTdNaz9mJn1omHc5ybpHOB/gJuASeA5YENEvFD7zszMehhWy+064FhEvBIRPwd2AmuHtC8zs/f5wJC2eznwem55Evh4v5Ul+TEJs+E7HREXD7KBNWvWxOnTpwvXO3DgwFMRsWaQfQ1qWOGmHmXvCTBJm4BNQ9q/mb3fDwbdwOnTp5mYmChcT9KSgu+XAY8CvwrMAOMR8c+S7gE+C/wwW/XzEfFk9pstwO3AWeDPIuKpufYxrHCbBJbllq8ATuRXiIhxYBzccjNrk5qu008DfxURz0u6ADggaV/23f0R8cX8ypKuAdYDK4HLgG9KujoizvbbwbCuuT0HrJC0XNJ5WaX2DGlfZraAZmZmCl9FImIqIp7PPr8NfJ/O5ax+1gI7I+JMRLwKHKNzbb+voYRbREwDdwJP0an0rog4Mox9mdnCiYhSryokXQn8BvBfWdGdkg5JekTShVlZr+v4c4Xh8O5zi4gnI+LqiLgqIrYOaz9mtrBKhtsSSRO5V8/r65J+GXgc+IuI+AnwIHAVMAZMAfd1V+1VlbnqOaxrbmaWqJIts9MRsWquFSSdSyfYvhIRX8u2fTL3/UPAN7LFwuv4s/nxKzOrpI7TUkkCHga+HxH/lCu/NLfabcDh7PMeYL2k8yUtB1YAz861D7fczKySmnpLrwc+A3xP0sGs7PPABkljdE45jwN3ZPs8ImkX8AKdntbNc/WUgsPNzCqIiFK9oSW285/0vo725By/2QqUvn7vcBuic889l/POO6/UumfOnGF6enrINTIbXFvmXfE1tyH6whe+wE9/+tNSr3Xr1o26umal1H0ryLC45WZmlTQlvIo43MystCa1zIo43Myskjo6FBaCw83MKnHLzcyS49NSM0uWw83MkuRwM7MkOdzMLDl1PX61EBxuQ/TjH/+Y48ePl1r3nXfeGW5lzGrSlpbbUOYtrVwJz6FgthAOFI2xVuTaa6+NvXv3Fq532WWXDbyvQbnlZmaVNKFBVMa8H5yXtEzSf0j6vqQjkv48K79H0huSDmavW+qrrpmN2mJ4cL7S1Fxm1n6LokMhIqboTOBARLwtqWhqLjNLQFNaZkVqGc+t5NRcZpaAtpyWDhxuFabmmv27Td1pvwatg5ktnLaE20C9pRWn5nqPiBgHxrP1mvHXMLM5NSm8igzSW1p1ai4zS8BiaLlVmprLzNKwGHpLK0/NZWbt15SWWRE/oWBmpTXptLOIw83MKnG4mVmSHG5mliSHm5klZ1E8W2pmi5NbbmaWJIebmSXJ4WZmSXK4mVly3KFgZslqS8utlsEqzWzxqGNUkDnmYLlI0j5JL2XvF+Z+s0XSMUlHJd1ctA+Hm5lVUtOQR905WH4d+C1gs6RrgLuA/RGxAtifLZN9tx5YCawBviTpnLl24HAzs9LKBFuZcIuIqYh4Pvv8NtCdg2UtsD1bbTtwa/Z5LbAzIs5ExKvAMeC6ufbha25mVknJltmSWVMIjGejb7/PrDlYlmaTTxERU5IuyVa7HPhO7meTFExI5XAzs0pK9paeLjPj/Ow5WDoDfPdetUfZnCnr01Izq6SuYcZ7zcECnOxOVZC9n8rKJ4FluZ9fAZyYa/sONzMrra5rbv3mYAH2ABuzzxuBJ3Ll6yWdL2k5sAJ4dq59+LTUzCqp6T63fnOw3AvsknQ78BqwLtvnEUm7gBfo9LRujoizc+1g0Kn9jgNvA2eB6YhYJeki4DHgSjoTxHw6In40yH7MrDnqCLc55mABuLHPb7YCW8vuo47T0hsiYix38bDnfSpmloa2TO03jGtu/e5TMbOW6z5bWvRqgkHDLYCnJR2QtCkre899KsAlvX4oaZOkiVn3wphZw7Wl5TZoh8L1EXEiu9Fun6QXy/4wu6FvHEBSM/4aZlaoKeFVZKCWW0ScyN5PAbvpPA7R7z4VM0tAW1pu8w43SR+UdEH3M/Ap4DD971MxswS0JdwGOS1dCuzOHpf4APDViNgr6Tl63KdiZu23KAarjIhXgGt7lL9Jn/tUzKz9mtIyK+InFMysEoebmSXJ4WZmyWlSh0ERh5uZVeJwM7MkJd9bamaLk1tuZpYcX3Mzs2Q53MwsSQ43M0uSw83MkrMoni01s8XJLTczS5LDzcyS5HAzsyQ53MwsOe5QMLNkueVmZklKPtwkfRR4LFf0EeBvgQ8BnwV+mJV/PiKenHcNzaxRkg+3iDgKjAFIOgd4g870fn8C3B8RX6ylhmbWGIvxwfkbgZcj4gfZbFhmlqi2hNtAkzLnrAd25JbvlHRI0iOSLuz1A0mbJE1ImqipDma2AGZmZgpfTTBwuEk6D/gD4F+zogeBq+icsk4B9/X6XUSMR8SqiFg1aB3MbGGUmZC5KS27Ok5Lfw94PiJOAnTfASQ9BHyjhn2YWUM0JbyK1HFauoHcKamkS3Pf3QYcrmEfZtYQbWm5DRRukn4JuAn4Wq74HyR9T9Ih4AbgLwfZh5k1S13hll2TPyXpcK7sHklvSDqYvW7JfbdF0jFJRyXdXLT9gU5LI+Id4FdmlX1mkG2aWXPV/PjVNuAB4NFZ5e+7lUzSNXQ6LlcClwHflHR1RJztt/G6ekvNbJGoq+UWEc8Ab5Xc7VpgZ0SciYhXgWPAdXP9wOFmZpUswDW3XreSXQ68nltnMivry+FmZpWUDLcl3ftYs9emkpvvdytZr6cD5kxRPzhvZpWUbJmdns89rHPcSjYJLMutegVwYq5tueVmZqUN+ybeOW4l2wOsl3S+pOXACuDZubbllpuZVVJXb6mkHcBqOqewk8DdwGpJY3ROOY8DdwBExBFJu4AXgGlg81w9peBwM7OK6rpJNyI29Ch+eI71twJby27f4WZmlTTlCYQiDjczK61Jj1cVcbiZWSUONzNLksPNzJLUlMEoizjczKw0X3Mzs2Q53MwsSQ43M0uSw83MklPzYJVD5XAzs0ra0nIrHBWkzzjnF0naJ+ml7P3C3HeVxjk3s3ZJaYKYbcCaWWV3AfsjYgWwP1uePc75GuBLks6prbZmNnLJhFufcc7XAtuzz9uBW3PllcY5N7N2SSbc+lgaEVMA2fslWXnlcc7NrD2GPVhlneruUCg9znk2pnrZcdXNrCHa0ls635bbye5wwNn7qay89DjnETEeEavmM866mY1OW1pu8w23PcDG7PNG4IlceaVxzs2sXdoSboWnpX3GOb8X2CXpduA1YB3Mb5xzM2uPJoVXkcJw6zPOOcCNfdavNM65mbVLMuFmZpbncDOzJLWlt9ThZmalJXXNzcwsz+FmZklyuJlZkhxuZpYcD1ZpZslyy83MkuRwM7MkOdzMLEkONzNLjm/iNbNkubfUzJLUlpbbfAerNLNFqq7BKoc9bajDzcxKq3mCmG0McdpQh5uZVVJXuA172lCHm5lVMuQ5FGqbNrQw3PqcF/+jpBclHZK0W9KHsvIrJf1M0sHs9eWKB2ZmDTczM1P4ojPnykTuNeg0nqWnDe0q01u6DXgAeDRXtg/YEhHTkv4e2AL8dfbdyxExVmK7ZtYyFVpmp+c5bedJSZdGxNR8pw3tKmy59TovjoinI2I6W/xOtiMzWwSGfFpa27ShdVxz+1Pg33PLyyV9V9K3JH2ihu2bWYPUeCvIDuDbwEclTWZThd4L3CTpJeCmbJmIOAJ0pw3dS4lpQwe6iVfS39CZn/QrWdEU8OGIeFPSx4CvS1oZET/p8dtNwKDn4Wa2wOq6iXfY04bOO9wkbQR+H7gxsqONiDPAmezzAUkvA1cDEz0qOg6MZ9tqxy3PZotc8oNVSlpDpwPhtyPinVz5xcBbEXFW0kfonBe/UktNzawR2vL4VWG4ZefFq+l07U4Cd9PpHT0f2CcJ4DsR8Tngk8DfSZoGzgKfi4jZN+mZWYslE259zosf7rPu48Djg1bKzJormXAzM8tzuJlZcjxYpZklK+neUjNbvNxyM7MkOdzMLDm+5mZmyXK4mVmS3KFgZsnxaamZJcvhZmZJcriZWZIcbmaWJIebmSUn+cEqzWzxcsvNzJLkcDOzJDnczCw5bbqJt3DeUkmPSDol6XCu7B5Jb0g6mL1uyX23RdIxSUcl3TysipvZaAx5UubalGm5bQMeAB6dVX5/RHwxXyDpGmA9sBK4DPimpKuLJk81s/ZoS29pYcstIp4Bys5gtRbYGRFnIuJV4Bhw3QD1M7OGaUvLrTDc5nCnpEPZaeuFWdnlwOu5dSazMjNLQJlga3u4PQhcBYwBU8B9Wbl6rNvzSCVtkjQh6X2z0ZtZc7Ul3ObVWxoRJ7ufJT0EfCNbnASW5Va9AjjRZxvjwHi2jWb8NcysUFPCq8i8Wm6SLs0t3gZ0e1L3AOslnS9pObACeHawKppZk8zMzBS+mqCw5SZpB7AaWCJpErgbWC1pjM4p53HgDoCIOCJpF/ACMA1sdk+pWTqadNpZpDDcImJDj+KH51h/K7B1kEqZWXMlE25mZnkONzNLksPNzJJUV7hJOg68DZwFpiNilaSLgMeAK+lcz/90RPxoPtsf5CZeM1tkuoNV1thbekNEjEXEqmz5LmB/RKwA9mfL8+JwM7NKhnwT71pge/Z5O3DrfDfkcDOzSmoMtwCelnRA0qasbGlETGX7mQIumW89fc3NzCopGV5LZj1aOZ49lZR3fUSckHQJsE/Si7VVEoebmVVQoWV2Oncdrd+2TmTvpyTtpjOC0ElJl0bEVPYk1Kn51tWnpWZWSR2npZI+KOmC7mfgU3Qe49wDbMxW2wg8Md96uuVmZpXU9OzoUmC3JOjk0FcjYq+k54Bdkm4HXgPWzXcHDjczq6SO+9wi4hXg2h7lbwI3DrwDHG5mVkFSD86bmeU53MwsSQ43M0tSUwajLOJwM7PSfM3NzJLlcDOzJLUl3AqfUMjmJT0l6XCu7DFJB7PXcUkHs/IrJf0s992Xh1l5M1t4KU3ttw14AHi0WxARf9T9LOk+4H9z678cEWN1VdDMmqUp4VWkzAQxz0i6std36jw78Wngd+qtlpk1UXewyjYY9MH5TwAnI+KlXNlySd+V9C1Jnxhw+2bWMCmdls5lA7AjtzwFfDgi3pT0MeDrklZGxE9m/zAbnG7T7HIza7amhFeReYebpA8Afwh8rFsWEWeAM9nnA5JeBq4GJmb/Phu4bjzbVjv+WmaWfrgBvwu8GBGT3QJJFwNvRcRZSR8BVgCvDFhHM2uIJp12FilzK8gO4NvARyVNZuMsAaznvaekAJ8EDkn6b+DfgM9FxFt1VtjMRiuZa24RsaFP+R/3KHsceHzwaplZU7Wlt9RPKJhZJU1pmRVxuJlZaU067SzicDOzShxuZpYkh5uZJckdCmaWHF9zM7NkOdzMLEkONzNLksPNzJLkcDOz5LRpsEqHm5lV4pabmSXJ4WZmSXK4mVlyfBOvmSXL4WZmSXJvqZklqS0tt0HnLTWzRaTM/Allw0/SGklHJR2TdFfddXW4mVkldYSbpHOAfwF+D7gG2CDpmjrr6XAzs0pqarldBxyLiFci4ufATmBtnfX0NTczq6SmDoXLgddzy5PAx+vYcFdTwu008H/Ze2qWkOZxQbrHlupx/VoN23iKzt+nyC9Kmsgtj0fEeG5ZPX5Ta09FI8ItIi6WNBERq0Zdl7qlelyQ7rGlelx1iIg1NW1qEliWW74COFHTtgFfczOz0XgOWCFpuaTzgPXAnjp30IiWm5ktLhExLelOOqe55wCPRMSROvfRpHAbL16llVI9Lkj32FI9rkaJiCeBJ4e1fbXlbmMzsyp8zc3MkjTycBv2IxgLTdJxSd+TdLDbFS7pIkn7JL2UvV846noWkfSIpFOSDufK+h6HpC3Z//CopJtHU+ty+hzbPZLeyP5vByXdkvuuNcdm7xppuC3EIxgjckNEjOVuJ7gL2B8RK4D92XLTbQNmd/v3PI7sf7YeWJn95kvZ/7aptvH+YwO4P/u/jWXXg9p4bJYZdctt6I9gNMRaYHv2eTtw6wjrUkpEPAO8Nau433GsBXZGxJmIeBU4Rud/20h9jq2fVh2bvWvU4dbrEYzLR1SXugTwtKQDkjZlZUsjYgoge79kZLUbTL/jSOX/eKekQ9lpa/eUO5VjW3RGHW5DfwRjBK6PiN+kc6q9WdInR12hBZDC//FB4CpgDJgC7svKUzi2RWnU4Tb0RzAWWkScyN5PAbvpnMKclHQpQPZ+anQ1HEi/42j9/zEiTkbE2YiYAR7i3VPP1h/bYjXqcBv6IxgLSdIHJV3Q/Qx8CjhM55g2ZqttBJ4YTQ0H1u849gDrJZ0vaTmwAnh2BPWbt25oZ26j83+DBI5tsRrpEwoL8QjGAlsK7JYEnb/tVyNir6TngF2SbgdeA9aNsI6lSNoBrAaWSJoE7gbupcdxRMQRSbuAF4BpYHNEnB1JxUvoc2yrJY3ROeU8DtwB7Ts2e5efUDCzJI36tNTMbCgcbmaWJIebmSXJ4WZmSXK4mVmSHG5mliSHm5klyeFmZkn6f0VJPeN7qBvjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.zeros((200,200), dtype=np.uint8)\n",
    "data[10:20, 50:60]=255\n",
    "plt.imshow(data)\n",
    "plt.colorbar()\n",
    "plt.gray()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Challenging orientations when using \"ginput\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot this into an external window, so that interactive selection is possible:\n",
    "%matplotlib qt5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[239. 298.]\n",
      " [458. 616.]]\n"
     ]
    }
   ],
   "source": [
    "in_file = 'data/images/inMyGarden.jpg'\n",
    "img = plt.imread(in_file)\n",
    "plt.imshow(img)\n",
    "plt.title('Please click to the top-left and bottom-right\\n of the yellow flower in the front')\n",
    "\n",
    "# Tro to select the yellow flower in the front\n",
    "selected = np.round(np.array(plt.ginput(2)))\n",
    "plt.close()\n",
    "print(np.round(selected))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result should be approximately\n",
    "[[216. 293.]\n",
    " [346. 523.]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x21a4fefcca0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SQSpF2wyKSpEDTRpNK7VVruuRYzlw//AyAzONx9P2hIIvynbmJSnIEjbRgDA85hVTzD23QFXqFE2JoFZB1Sbl5ckdadItk5sEBh4jNzdLiqSWjL52yYBiI+KM6gZYUnglkDIItdQ6dB6vk0F6ZqDhnnNnZp8XSkQgo5zHPOfkxN0L4Yp14XBYWeqRqgsuBXEnKlh3TPKc8/ieiOnMaSXeEUHnRjqh9GUOu3xTCQ2mOPyNWClzHSgSispF4P7541sL3P85o7WFuirj8YwPZ1kq6Ea4c3W4xu0Nr+4Hn36583Bu/O7v/B6/9au/xYsPhIftAx7fvORq/Sn7+a+w7nN3DKKD97wwqvDsxcIPf/ycu2fK9bVxe+tE6+gaSCuYB6MLp3vnzavOw33wcC88PgTLAqMFw5IbrMvK6gvPdGEZcN/PnLcHes8J13fh/OBsD2A7iCxou6Itt5R2zdXVC66Oh3TQSODjjO8bqBF0bOxYdLo7XicdMod7Ig4nJ0EIacWJuVj87eNEMkVta2E5rBlcJ7drfZ+BT8Ac8SDxVkY8s8BDCM90+nAHtx8Hzz50rtedVgqlOGuDNjcPs6T7mghNU0BSFIvMdOoyF04qOUhJVBI2uXrN9FfqTK+nAyMk02QtC+GZ3YTPlFUSQdZac2FMTjMplMv5vF08oiXRF0lBpLvGCK+IV6BjvuN2JnzH1BNheaHXSitQtWJD6HtyqkUbpQSlOkU903QpFDlQdKUWZ6nBWAwbjg9hPw98OD4KroJLQVkQWRNoEKhaOlrUJmc6N+YpFnPhUYGqhRJJqdSy0LQh2sBhdGffjKVAL073mUkRGYTcEZdE4HpBioULMhCpqATqGbDQjoqhGLVAK8FSgiIDoSMTCNmFfIpg0OmcGeOMSoqW4TvmO6KOqiPaKeJT0Mu1W2qwd8c8p7kIUx+JJ2fHJXZ6CKqBTTSeaj5TI6kzWANWwAqrrhzrkRqNEguVRqhjaiwt6H3P+ekXTl7yGKgJZi6rJS46AGmEmHM5M8UJtiKmO+mt0+ubM/NtUE/d6eeP70TgVi04G+d+D6GsdUWlsLRnhAdv7k98+fXO6az8+Ie/wu//y/+GX/vnv0TUwedfHLle/oq726+5vWp88dMNF8XFMUuaBIGrm8IPf3jLizu4vnaub5IrLIsSxenesS3ofXB66Dy82bl/M9g3oQ9Y1oJLoaNUWWntA66XD2l+4GEbcPqK0/4Jp/OJ7QTbg7M/XtKxoKyNul5RlxvacktrB46HK/COescLmDpCJ+hApogDnmyNTgYwv/Bnl5D0NgdMqsUFt6Qt6lo4HBaOVyvLcYGSAf30+Ag2cgrNbCS5VUGi4BbTfplCb7sOnv1AePEDuLt2mnSIRLEhyWVaD/ZdGJHUkI10J2gpUJWy5Krb95gBWZ4ojvCLFY4JuQWZ4qaLT7SjuBkSJd1wDiOS0xfA3AjsiapKAXYksow8RpVpb5twXKddMFxRMYoYFmdykW6MfqYTuFVsGL10liaoNGIUxJOTLgyKJJ1RCxmyfCBAk0o9NPpw9t4xMboEbrmhSVQkFvCV0AWnPNE+pRjIQEoiTo9OUNMZIx33M912fAiLrOiT3TSdRUmxHSlyRdEzihO2McZIqqJGim6u1BSAsCIUbag2RGoKj6Wk3iCBx3iyRxbNbEmQaacF6FO3y/RpeHDuxhaD8zgzxiPKRpGO+57OnkjXzmFNUa9e8IfCqPoUnackg5YLhZj6ksw5E5HiPZrPHz0TCAkoJe9zmILnBndYDwiKD6ZWIRQaRZTw/Um8N8trozj+DhWKl7fZLzzpMO+icp1BG7lQmpeMTZ60mJDMOXPPTIPALxrficAd4bx5/JrXDw/UUJSKysq6HHizO69f/ozzaefu5hm/91//K/7Ff/U7HG8qX736jPDg8eE1D69eYvtg9AvSlLdpiwrPXyxc3xSWpdHqjsgjgePW2LaH9Nnazhg7p/OZ89k5P8LpIRimOCvoAakH2vohz5//GuvxB+w9+OLVFwwOfPXqNefzI9tJ6CdlbJCcXEV0pdYjta602sCCcR6IDIxH3E5s/TUeJ4jB8JEKthaGOFu85bOTlk2FPSKeJlINSR7fAx9BKcrSGsthobZKaRlkNt8IyfTzKfuDOYmepJMUVgjqIXj+feWjHwo3d86hQcGxAaML45zUh3fwEexDuD8HW+4/+R4Xl8qYfmOfqwvPTMec8OlCKJopb0lMaB6T2lA0FDdPNAbUaRkMdPJIyVaDI9PbO6bSqqKTUcqUNPQiGM3/k4qgVKkElZAyn9sJFUIEqUGRQhWFsiLaUITWgqUZawtKSZFzjH1aGhe0LoyaYp6VYO+GumEhjB3UF0QKYYZWRdWp1RAdUIyiO6oDD6VbmTUDOz7O9L4xdkF0odYDRTKYuE3UHAuqR2q5RjDCz4y+o2I01SmMvk39RYRaF4qu+VXTOsi0UU5SizL922N0rBq4oEtNqhLHXTCE7s7JBo+9s/cdGx2NgcSe1zYuFELAeqECc9645fwsJYPwRYsWMhC7B2VqIGl/zwDZe87nUjKbC5uOq5R455osSQf1FP/RvN4eBRvOvg9sDLwP8DGdSfJWOfRALC4qPpfFlDle/hxxgVdwqdmYS+1t/CMgLNF5GKDf9J3/A+M7EbiHDb54dc/LrzvfOx4oXKXXU53zds+bbWBe+O1//tv86q/8Juuh8OrhK/7ikz/gJz/5Az7565/xH//mgS+/NGzUuQNfClnSelSXTDe1KGmuHCCWKXIEez+zb284n+95PD3yeN55eBS2XQitbH1ljwNX9QU3z3+Tj7732xQ9MsxxOfC4CUWu6V3pm2BDGN3SmiY1uat3/hQRbOxE3OO8IuKB7q8Z8kgXIxRKXTCB3ToblukelvMmEo12S/CpkwDXkv9elsraFg7HlVoVd6f3Pl0lO1yS2LkQcJlpWq4iG8n3I87tR8KH3xdub5zjkg4Lc8cwTh22x3SQ2Dn98+bQc/5Rm8x0vrDP6giJXEweRox4sj+9U2qTAhKXgpy5IaGYOTHSalZLOpJKVfbR0drynk7BK/B8tZl9tKpUrUCBWVyTDhRDxZPllaC4UmRBbCXKGYrR1Di0wqEJSxGW0pBYEC+oKrUYtULVdOU4kdZKLckbkxy81MbAKVJoAjvGeeyUAA2jqFFqICUdF0HO1WBDoiMCjuImDNsZ+5mx7/SzsUWn3DaWw5qbgGcwcxeCBnKk2yMe6YbCJWklBS0+nTyJ1mtdqWWllAMiCyKNWuqklCSBDtML34NYam6ezKwwsT0DzxwyBvsYnLfOfh4UlKoLGuQG0mJShjmnsUTSNvI7yFOBTakZkC+ahWqZHn8nJiNdNWkVNHAFcaGqUOdmk8Jrgfme0YVSIgFNpBW4n85YNxgDicmhZ4qZ52kXLWCG4+lyuZgGuFQDkToB787xJzkpCLnYf+3CqbwT4v/h8Z0I3DYGn37+Na+/GvzKL99StFIXeOAVr+xnPMrOze1HfO+jX2Lrxn/89FM+/fJP+OM//z/5i7/4W/7qT53XP4P9ftpvJKZq7oTAiODVq412MCIaqs7SnFoWSix4BzC285lXr19zOlm6U06N4RV0ZfMjrx5Xjsfn1PZ9hCsgBYir9Y5SPmeYsI+0zXkELlk1V4YRw/E+6H6iijJqpIgjD7g8YHaP+QOqnWUV3JP3FErS1p6IpMh0lpABcsxU0SQnQ6vC2haOpbFqZhiignkn3J+8o34plukpnIqnpUnCwaaoOJz1KNxcCWsN6oWGkdQWbQb4bYdXr4P9Ebb7tByuq3C4gprUIuFGrUFXobtN/7m/TSXhqdpO8OQq0YmSHQuQecI6gY+0REkjtlzMdSA1BUKLDfeF6H06NxpmmnY7TVeJzGVU1BN1ThYlQtn2ikZFpBEMmjqH5hxqo5VCVcmgU1LkrCrTs5yvWrWkSG0yhTOnaIFS0yaHU2KgiyO9EH2AOK06dSlEyZ9lAgwiEbz7TuY7wvDBPk64D8yN0Y2vXjciKsel5Nwh+XBzYe+wm9PNCAmkBME+C44cLYYHKC0pJSlPSDKmrS/QSU8Y4RuixjaM1ivrYWWk7k1EmRY3A+2EZuFT33d69+muKpkl6E4rTsWJEU/UhiAzG0u3iBZBStZPQBZ4ZeXmJcjNCuDIimgtE7HnbsdSYSlCmOPDMQajBzYEjFmclev34eGcvLo54VOcdkmxSSa8cHtKgRNsyIURmTE7M8uYBTs6A3Ki8aQnQ0AicKZ+4YOL9fIXje9E4O7W+ezzl1yhHFfF2XjTP+W1/Aw53PO9ds1Hhx/jQ/jkpz8DL7x684ZXnzuf/bVzfhN5QaugtbIeVx5fPya/KgsRztdfGKeHjn1/cK0NLUeOywuaLZQ+J8hj4fSq8ep14fFRcArL2qjLNdquMVPMrjhvhfNmtALWB/s+2PuJx9NDYjwNTMFUkCEp+lnH9jO1JaUwyg4NpJwwz6ox906ts6R/ptsxebAwkBI0UvQTMk2EnDsjwCTRcF1Loo0IPDqVxrqsDB+zpDhtXqOnhcqngUWYqZ/FLD6AthRKgbCRaHp6HrvBvgn7BtYFG+lX37dcR4clN06dgNtj0GrlnITPFBAvdMzb1FFE52RORHjZYDDoW0eT30jbVATdOqVNZ0OZ+E523PYp9Ea2L5CCe6FbJsuUkpWgBdZFWdf0LqsUhsG5JVXR9qxSVRKVX2iSogWiorT5MxSZeX10ii5JOIkxzCAGuKJS5nmnaKFaoET66ZvT1kFbM2tADJFOrWlX3Haf1bvThYCjmpmYLjWLu8aZ0+kBt0YpZGERSR9mBlQoS8lNujilCEsrRFGsKL1nkJeZiaQbJAljwxneMeu4bUikqChMt5JUXGoSYD4yeOcFSXQRg/CRVB6BSFphL60Z3OZ9h7ThzdqH3oMsCI3pLkqAqi6zwC1fLxF3TCpxovJJnUjA0pLHd4Kwjkd6tsdIugSc3o2tjzmfmW0EkphCeYd7jretJiLenifTJRLpDIknDzdPYuSM8bPNhFwAPOnesrSXfqPM8++P70bg7p37+52Pf9CI9ZFHWYkwdHng45vGXf0R1T9mPwt2dsIaP/2p8R/+70defpElri5wfHbNv/iXv4do8If//t/z5Wdvcgf0LLk+3AgfP7/mw6uVF4dnXK/XKbJ4pu4lDuA3hBnrulDaNevxiqIHPAqnfmI77zw8njm2E02FfZz5+uFrPnv5Ca/PL/EaRCWjaE/hMP/sjHEPsaG652LYOs4DzhmPkf7cRdJWhTKITP17zyIFN5rCYVYS+LQCXuoIjCwhlwZFlRpKCX0KctYN846xoWoT8ScjnG6QLJaJkbxdqvea1quubJslxeDKtnfOp2DsWThTSuo0qsHYdFa4BWNksZBFbgixG4y3E/2plcgUaSScmNhEQmcGqVlNOsDcsyhJ8r4XUjC7RP6YvKJ7BsunvhyX5iBMERehClwtcH0M1iWDeK3CMFjboJaNpXa2fce8TyFyZEVgKB4FkTWRaQRgM+NrWB/pkPEgoqdrozhCY1jJzTKSMmtVAUObUaqhxSniICMrEMu8QChESc/9tGlmYWylLIXonRIBPhh9I6JRanrkSkmR2lnRurLZilajlgziRMFKWoKiG247PoNORDDcEkB42vpi9lvotuU9bAVXm1W2oJoWSB+pa8SInMPikytOhDsy5E4xMKmbzFQyo8wSdFJkVWYh2qUHUAINpcwsMJ5aoTigkRmqlnzMpfLZL893GGa4F7ZtZ4xBt6zEjJiZ0tRnLpZbmRW0F6H08nWR1GT+pYVE0JZzQOEpaF/maRoMuKyEJ67/6fe/YHwnAre50Ypy85FzXh8o8py75QOe39X0Sddf4nxS3rzaeHjT+fLzV/zxH/0Rn33xitJguSosrfB7v/vf8ju//rt89fJz/vzmP8CX94QZ4YVWjY8+OPDhzQ03y8rxcM3N8Qad/KgTFO0clitub5VSnnF1/f0sjvDscVHDuX/8jC9eLhDOWg88bq/526//jL/+4iec4wxFZh8PQZeJagi0dErJ1NeGE1Kw2Ag9I8t469os0I6VshypKDI6Y9sRnDKgAWVWg17okmoz8EryhaUE62HhoCtqMgUYm8UTG2GBTa0AACAASURBVG0ZHFu6OrYt2M5wsplWWhAzeJeaSCd8SbTaDbTim7NtmVamNS3TV68ZiN0dGzrr5bOsBVK4tA7eM8omzTAFHSHR0ZzAhOYm4pKlzfP4stdG8sqqgch0XzAFrnR/p5AYjsy8O4RZ3ZZ8qIjTmrOuzrIMlpq+YlWnSHL76S8+E5zZ9o5wmOlwwSkIDY8KVjJIy06EUqhYFCQGwSzDliwyiWlz8xAiUgSVGtS2o2uHuoHGfE6m6InUNHnhsqCTOnFJHl9FKFJYVs3eMLGD7ZQ6CFpe2xIsCi5C1MrCmk6VyAITCUFLolGLfYpk9qQzPPkmdIq+kNc1Aqmg1RKlB0lHXeiW6KgPihqtCW3J1gpmyvCZkeGMEJoAopgF+7B3GpZlILy4VkrJ4HvRomdehXlqC8wsj9k4LrOheNJLPEien4zy3S0ppG4zYGdZ/TxJLs3GVBKE6AQHxIXTno8j93BtsByUUmA7dfZziqPvEiDJySf9lM28ZDLh8nYX+AXjOxG4S4Ff+fXK7UedZXnGs+MP+ejuY1hOGPf0/Z5Pfvan/OEfbLz8XHl41Tmft6w6PAS+Oj/46Mf8l7/+W9xdX/HVqzObnZBLJZMLy1q4vjpwfbzi6nDg6nDIYo1WqKNi3llq4/amUtvKunzM8fAh+zYw7+lBVcXGF/z1p5/y0y//glKvOfVXvH78gsf+kBalAlYEbRmI1prVfWKOhuNu9G3guyLVWe9gvRXKAssCxwUOa2VdV9CVG4PDw8qb8kC/36DnJMhESpAO0oNK8tuH1rheD1ytK4s0bDd8JFo5HCpjnGktrVfu0ydd0qIXs6Dh0h2wqGLDOD86pSwsVtkejPP5EVdoh8tUjBQhA9YrzYInSAFoquvmQd/J4hOf25RevsVcFGnYDtcnrpDILIB0wyFFqZcqvImGwoMBgFM8+VhFKKpzUeRrZbfAyrul8DJ5R48BWNIDYvn6MhB5BH2c9tKSWF2n12wGDg2hFqGUdHEY6X4pKKUs2RhJZpn1SCtYUWXMyse2Zlm51BMu2SenlCx1D4/021MoUlnkiqhMr/OZoadc7g7Ty5IXVrIkHrLfBuKgO6UYC8IIRUpmVool6+7GsJ70i6YDyVWni6Qmd1+yMtW94b4hWjiuSUMkElXcNIVi19x0pFLrwkJnrLnRj27ZP0dSbr/cT7Ng9ClQXjbxWX2YFbZTiyGzKCGL7cbsteIwe9PwREno9FNHTM46snLSLOg9vzzSb/12/icaFpHZd2SCBSadIzl3iLedHbWA1uB4V1iOWZxFKThOP2U7iZlLXvYELjlgzMpJ0fIN5P3zxncicK+H4Nd+w1JcsyueXT/nuFxxf97Zwnk8P/Dy652XL8+McUSrsNwE5TAo17mYX3x8x2k8cH75hp98+kfsfqI0pY+0A9ZFORwL19crx8PKYV0BI3wgkV27ltq4WitFj6zrNU0LxWHrg4Hh8oi2B4qeefR7+hlCnXYN1x30BIykKjwSsR5aKnm+T54aMiUjuHuufPSjwvFGqS04LMLSYFFlXYSg8LgpGkfonYeTsz/uWQQ0hRAG6EgFfV0KDUWywgUpjmLstmfRimZfkaUmGq3phiIkixn66W0gLqoUMjDt20bETq3LbEbU0SUnd6kZ/NdDAxrtUDjdQHTLareQDAj7YHRNVD+RkU4BSmcmmv0fLvTIRHnhmVa4T8QsSYGQyF49u7CZCiWCnR3RjrYnDDRT2anmTx40ZhY1ujFKCkcdo0xuuY/BPjpjDIYNzJ3dBn10Kulfz8pKS/92CCUSWao4dVbwFeQJmcV0EAQGs9y81UYthdYUrYaRnQqdgYZiMRiWfWbysS2DCAGtpRe89+limJw0oLoQnLPIBWbxTgcGpWRTKSUDIXJp0Tr7v4ijkog+PSErGo2qlbWs1FIROWLTkbU2p5YUZyOyuZWbgqTRWrUltxyFpWXQ2iQdI0++/QIueS/7yEI3Fd4e29Q15Oln5SKeeh9Peo9KBu5a82syZZkdztYXNgVJc8Ess4qcKvIURJMCmX5rdG4es4ZUmPMom4NdgrBWZ72Gm+eCVGcfg3URtBYeccYpuKSflwpPkayujKeCpzoj+S+Omd+JwH1Y4fsfD+7vG3f1GVfXlfv+mof9jLYbnAMAH3z4JY/3xukx2HHsCL6mLvnF+RP+9GeDvm387ctPMHO8vzW6r6tyfVDa7FanpcxUzxA1agvYnSJZgl4FkJH88O5ZKFDeUI8bN7pwXQWpO0EW+mx78OZNrp0ahTGcWpSq6VtG0paV/SUGN8+VX/rVD/jex7esTTmuhbrsUB5R6RTpiVYU9j64f9NpKGNUomfvBxtpzWLMTntRKC4wHO87faSTZN9PjE5a1ppNVR4OVWgRyBasC4ySpT/ptMjeC2m7U9a1oRMNFC3ZM0NgXSrXd9miljjSrwvnWzifN2w7oxbsp41up8wOJKg1bWW1ZCc5lQtRlKR9RC40mV0JbVrDsvrNKDPIZXOmAZpuETfHY6MuG8WMcEuqZG7QORuyaZSJsfc+K/Ecc6PWTiUD1rmPdGH4wrALE7vM5mE7TQdFRnqmK7NNZ1Y3Xip30w3jVLHZm0NxTe5Ua8FRtAqtZRuFUisWC32MrIy9iMmRRMlsApBl8ChLOWDVOZvjo6PaKToyGIUyrKK64JFIUYtjdLrn+Yj722KRGRwvdrVsAjUYkZx0q8LVstBUaFqyCZVkV0jRLY9MpltHclMdMejWCXFUg0qwzCApAufztPulpwIbWRsw2wrhs4OkT666lBSBc8wmT1MgqUUpZWZuNd46sETe9uYfgm08FbSZk5ScTNrOZ3M1lBgpnl6uicw+7yoVvRSNRWGWyCFFaFfK9fPgcGNohdULoxt+yGz49RfBeMwN8tL7JP6uzhPA7NX0i8Z3InCXGjy/FQ71irVUHvZP+fLhkXX5ATfrD9n2ew6Hz3n2wYaUnW103AZWAmnCMOenr7/g5f1X1K70ByXOqdZlz9xgaZXj8YDWBa0rdVkoxVIl9xTtsmd1hdizEMZy5+/2mt2+ZMRX3Nw8o7Q72mqobpzOX7H1rJrzUXh848Q20/zZOL8i7JE0hDbj2XPhB7/8gh/96J/x7OYZt9c3LE0JfY3xFcQjZm8Y45G1GWvJXr7RBbrgWzZIGp4tIJ1ZZWgClpzwrp2oihj082DbDFXj5oaJvqG1zEYU2FawVYhzEAXWNbi6Eo7XjcNVYz2saFmy898442wsB7h7dsXt9YsUcA2iVe6urxge7Fu2MNgfH7l/9ZKXX97TRloA/dKqlQxMT4tDNDnL2dwn237m5utcSuCMtgalBUye2yytl6qVYWeKnxDLPt9Jt1j6rsm2pO5OlBlMI69l9QKjMqwy/Eh3Y5gyvAGkJ1vTE2/RgR2RwGUW8+gA3XHpSDZiZsQgLMVl5NLzJXtfqHhugJcy+aKUWAjvxCiz3QAZXGoDbdg7HcWUwlJXxtgIzcItk3OCCe+cIih6hGiTuhF6DLaR6d+ItKkWhVKFMQb71rNtqmYUKWEsC1wdhKtFaChVyxSRhbWuOM5SglozsAXK8E63wDDQQdGBiE3nB0/l6ds8F/OLnjIBp17otgv1BeEX2ma2MhDAcsMoi0xxO4Oi+yB6VjlGSNJ2pmnPtMgq1j0re5nFXaVObntWtEW8k7VdvqaoeOmvc9lHyhq0o1HXQV2y86WoMPqFFnL6tXCytDym0ymDt5FZjmOIzvn6DUb874/vROAGWI/C0lYi3vDV+RMGt7y4+g2W0gg/s+0/4+H8itMGp805k7za9ZVwPgcPbwIfwtFXxkOi7UQ4UA/O9e3K9d2HHJ7dUa8bZS2J1rZBmDFGp9tGvzgXRsetYGac99eYvOb6trAebpNnrY5IzVTVhW6BFkc0+zhfuNdMQfNPOwTrDdy8WPnow2c8v7rlxd0Nt7dHRAYjYBszjR8nRj/lxCKR/PYYjK0SmzDcn7zUCUOCvhtlKewWnB9OLKXhu3O+H4zNaA36kgJRu4KmkiXXI6suD7XQV6Mcg+sbuL0pXF2vXF9d05YjQUuP66kSfqS0YGlHWj2mzU0hOFDqAXOnKYw+ZudD5/TQ8XHOHkaajZKehHuSA/aLb3f2og54QrBcHAI1oAZc/g0EnsJQCZyNvb8iShBVUO2oLqgsQMUtGAjRFqAx3NlNkLIQpHUwxePcIJPP7RCzK59C2J6LuLRJdJMNkbSDWPa7iCxqsUgkXjQIMVyc4UHLdCP7esisDtVKLStmfQY0sNjRyIZgSbfF5Hd9UnxJ2+SnNHUsPLtCeqA2EFZiCLHB2Trb9pAiLMlxL7US4vlhHk8oNLOTosFSB8fFOa7CWkp2wbQguyqWpFJKfkBDqomGaBa0GIPagrYo7qkf7Xtw3h1fUlQfI/lmYwZuZ7YqziKwi0YxhlNrUkyiFzojKFopxJOdW2fg675j84Mj3CTRfQCXlg69M3fcKVjn8RvZMROyqjYbj0mibJjUyqX7H1AMXUCXQWj6sKX6LBSalEux1LEOQnZpyIzBLic8q31Dsk2CxDufPPQPjO9E4I7I4pLdvmTbvsKs8cHtr3FzuOLh8VM+e/1/8fX5c948BF99Edy/Dso1PL+q3Kzweg8eUdZ2w5Ves8fgvj9Q1512Xfjwe3f8+Ecfc/3iinajrHcg9Yz5AyYnuhljGPu+c+pGH+cMvNaBjsuJdRHa4XoKJJ2ihsf5bbAWSTveAQ4KsUF/gH5Oc4CNYL3OoHlcK1dL4/rQuD4sHFpBivF43sEeCXvAxs55Dx434XFLN0Z47vvDPCvnYCrjgVYYPtg28HPMRkb7LEdPa5RqVjaOHbylNNdHsJ2yX3ZR5eZmcHVdubtbuL4+cjjcsi5XqDTGSL84cp00TDiqB1QbS21I1qylwLIbOuvnlKSnassqxxHGpbfxW7/C/OQQiydqJLlDzcnNrLgUgRJ4ibdWSGbL1PBsWOSFogulDUrdpkOjE77hUdJeGDqRaWRXPhfUCqKNTOpnc6pQJDYKG5dWo3nM2SxF5YTKQOuFJ03hymZ3vdntCKGjJZACTgG9Yloq5nnWiQ6DEAVZskhG8tw9ZuvP2a5UNbUDSHpE2sxOPD/lJjzY+8YYQsRI73cIp97pYxCWWWJRwWpMXzFPvHEGy+TsaxnU0mnaWeshayJ19sNG8Vgm96zZ6nR+mouGsRalLkFrpD1RkyLL0vJOH2m/82npfOru51kbMOUAjKA/9TnQGVBng6wLqp6EuZE/m83g7jILbYIYsw+9xRO/LhKg2bpXK2h4lsl7zj9xJSaXfenbNw0waCVF3mLpaZfpgzd/Ek/dJTspQzp/aswNOR1G+OxKKfkBDfI0KX7++E4Ebjd4eMiP93o4gY+PeH79AYMv+fzln/Gzz7/kL/7EePVV4fw6PyXk+TPndlk5lMZeBx8+g9vDQpUTWz9x870dQbl9dsMHz17wow+fc/eiUY+DWDYGSYeYjrwpYZjvPO5nHnbHLVhLcFyUpXh+bFQ4RXUa8bMdapG3LVdFgucfpKPBtmB7Lbz6WRYQXHyjgkxBdFAwNHpSHGHspzPn0yO7veHcB6cTPLyB05vsMFiA0KQHRk813udOnR9WANvW37mwWRWJJRc49qzk8xm8iWy2v51yY2mLcL0qz15Urq4rh3VlXa5p5fhUHCEhyHGh9CzEWJYDx+NNloCTyWPv4NbxsWXHn/nZh9mJ9PL5lrnwumfL10tPESN7r0SF2Sh6OjjyHFyCrhm0ZX4MVJmzODytbLUqUh5nFBjAClGygGpIWvhknSTn5HalJeLyCtTJn2ZZu8pGKSe0nEDOiGxcKhpFOsI+mwNluPOYH0Xnkul5P2dJt06hVUtaDmcvbPNBqanjxKwmRUtaUbXNLI7s5zL5Xnn60IczwYkiIynBAtHy+pqnGDf6zhhpgXNzMGHsQrcs3rHG/JzVlvemZH/rZXFa21nboNApYhTtWUEoWaBjPtKDLUlFZIl/o2rqSFqNUizdVj47TVJpFWq12UmRiUBh7Fk56ZbfUxzKKdDJOXv5mDlnipEis4pxhtQgr2GU2bwsC82se/Z8t4H7pTw/m1WJQoygorMgJrB9Fi7hlIu4PMX0Mqs4tcjbbq4ebzeJyBoGMWHfFBtZeFVqblIxkuKsVbOK0zMGZfDOD235ReM7Ebgj4PFN8Ob1c9x/xAe3v87N+jHDHvB+pJ8qYp3iJfktif+HuneJsS3N8rt+63vsvc+JiPvIZ1VWd7toZCO6DRMkmiESUyRGIBgxsOQJElObESNLHjFi5AECBjw8gxkSSAghmcfYllAbutyvemXmfUTEOXvv7/vWYrDWPpHGrirUjVD1kW7evJE3I85j7/Wt9V//B1NZMGa2YZg0vvgs8+bVhZp3Wu+su5HTmYe7O16fF16/qpzuE9NkDLlgcnFP51pICpavmDQ2vfChD0aHtzlzzi6RF3wplcriySDJO3LbFWsg3VgmvKAMY8yQ74X9GfrFuy9VVwHuW6e3Z0Z7x3bdsTEhudO2Jx7fP3JZGx24rnB9Mi4fjP1JHJMzRZPL+NX8Ijhw6nGMlVFEXkj8fsH1BpcnN3Ma5vTDMTJtV3IRSm3c3RsPd8ZpUXJRv8GyYCnc9VQoqWK5MKeJ+7uFeaq3XEsdRmuD1q+oNboZe+vs29Vl0j5euRJPNQpSmP1pNE3peP4Rdpuis0o+xkqIhXIyNPvzQ724STJyVXLuZLliY2NQUMt0TfTmarmc7/BwhYqOQpeESfZuUBKJBZGZlCZyXsm5xGjcgc1hNtkwfCkoOEe7K34jRle3rcrojcWUijoPmTkEPBUl03SgWyOXHK87eXiAvRAMVI3WV4zm1qtUtwIez0Bzy1XxJd3IrgROOH+5E+8NiTkXvE/wJJvRjbUPaoGpFFKuwX0W5sldMWveKUUQ6U4BDK8SxKe8lKs3NIFpGIkkJaCC4SwfzBerpFsKjJjEc/R/WFg3xJDCEdRrmJthRZKIHs21GSMCR5IJMtxV72CEGB5v5t7d4geB2c37xPnyRJamkkrMjCmHn4uFLbRxxPelJEhOSHbeu4hzyFUHezekJ4fwVGgboAntTqUUawEF+aSVwtOGdFtbEHbjtzn0Fz1+PQq3wvXjA2z/Aq8f/nk+f/MJ53nim3c/Zr1Ud+hr7q1QFyBBrsrerkDjzZvKZ68qp/lKLQ3EuG6ZqS6cTwsPdxN3J6hzR8qK2nt6f0RyIjEzEti0InOjDiEpdIE0QZ2gHvMbK2O3UELtCBvTODIUoWZftrQ4dT0xJkY58TivdCmIKevTlfX+ayrv0c2QpGzXK9fHjadnY23C5QrPV9hW9xTpm3fKbYfWveOULMEtDaUjLmqRHEyWAwdXXCF2gX01nj5AnYVSMu557KPeaRHmeVCLIcnTSIwZJTtWJ4UsmWGduRTmKpQy6O3K3i70brQOW19RVbY2eHp+5vlpZX3eXXwU2OUIWTMpxsqYfG5WDRb+xQkO0zAV9yInvCtMPVj4sKbO2Sipk7hiOkKaHg3YMLoKpk4FTamSbEGZvPAfTnTBUvE69CK+ELozN0p3pz6cbWRyQdm9K+yGdjfp39bBunoWpWSHs1IWclFnbYQRlNqMScWGG2CpZp+MYlwXEkMbbV/p+ghpsOVCwsjWqTmFytH3AnJ0qSNwWoFaMyl5Z9HHoKknvbTN5d1JCpZcWFQnx/KzRBrM0WGmxLDhh253HJvkzIhhg5zDpVESOc2BEmt0j+4Rgrq61HnXx1LZF5WH9luC9qkjBC4hSHF7hBTK2B4HtcuELEzcsCM/01+/ny8S70PY+A4/2BQl5RQhDebB1FWgCxnjyJu0sGbWED4YdlNvmh1wUWLsmTaMaS3+c9TtYkcf6E58XycspJJuOgax5FYTkTkpLzrLX/j4tSjcqkLbv8ep/gYP51eIVh4/dt5/aHx8B1//qbJfJz757A2X6xMmndN9ZuiVu1J4c3fi4VQ4nRqp7EhKLKeFWk+clpnTkpjyFUmdvb9njG/QcYGekbHQdmO3xigbaTYXrwkss1Im5wyP7gvC3jayFGrNLPXEKB1sc8xMhc182dIH7B32Zu70VwuqwuVR2J6MD3fKDz6dkB5OeUI8n0xbB09PxtMF9pCUH4uV1mDbfPyTZDdTqIRjgR6OGobzOW6IYRFSPLDkXtb7DtvuXZSkwd0rIAuaQsghA7GNNi4kndBe2NYjtHd3uGfyk2G0xmgXRn8GG2xt4+t337BtHR3GdjH2q7BvxmgSnReAdzwkXyoei59bpw3/WFc0vuPN4hioXz+iUNIxaYDR0UhwF/Uk88TAzG92k4aSGXpGxhXJJwg8uw/viI4lpMeHJbBCzjPCoKSGpN3l0yjdPCm+DWVvR3fnuaNDjeLWKNTZmTy5KKV0klzcPMsGIjNYxax6TqPW26E71F0Ru24MXRljo49ElsSUq0+M6q52NtxO1TvNwMEl3Tribh3NilQ/qFFf+mWMLs77LyLuaKm+RJDITLXsuL8aznCxEUvR7vYEUqM4OvYgweaQ7N21Rbzb3gfb1ti3wYFwmPkBfHTSR3qNxPVwCF1MAwG71bVgH5kHXOsweu83DNtCpu6Rdn5QdvVDw/FpkKKOcReXxid3rwJTn9aI4hoQioakUw+6S3Zsb2hCm9FWD6SQODwPaFJUmJIwTcELP7Y75uHGqsFWSS+H2C96/FoUbixR81u6PfL1u9+nbV/x9uE3meVTLo8zfZ/44W//gC+/+pyf/PRHNN5z99rI+Y6H8yten14xTzs5PwdeVXh4/QU1f4+SztSykeSZtj0yxsbogmn1ENK+Ryak0dSXfacFaoHzbCTp0L2gjG5kmZnzmXMpLBWGXmlpcO0eILwB1+aRZeuT517mCA3Iw433103ZrtB2QXukvBtknSLL+xFGZ7/A40d8MWnQtsS+unhAwBcrGiMqR2ipX+xH+jviB4ebwQPDl5QpEUY6Rq5wEs+3vGy++dZkwEbv7xh9ZfSJdU1M9Z5aZyQpuSX2NgAPcBX8BryuH+h9jSfonaZzc53CNYYHLB8WtDk8TjgEQUH4GhFvdss+gFD68cLnvbFSomgH9JIP175IBtqbeyu71WcPaMGPCrURozwcP9A7KUiSMavRtQ+wHZdzO/wiFJJMCK463Hale44dNnwKq9UtAdz4yKcCSW7VerAa3Azr8FnxotBHj8xQRXuot9IIauGgqdLbYE/VAxRUEIo3GN2XcWqNMTK5ZKdARmKOlKAjzgnbBoOBSvdrg8JBgDP1z0ta7CkMPKQhuSHScGw9p5kxnF6ZUwXNt2tSlYjUy2x98HzduayDbbPgcR/4cKAtUdQOvpAXM25wY0q4etXcRkHEvWkOM1SLWL4Xdor/eRjYGJ7GVFJErfn1STKkOoWT7krmqm7HPEhI9+eosbj0Yk5YGFi4kAbMfsBB8fPsEMTFTgeDMpJf7ymi8zSB5QhmTn8xMG6xzMePf8hqP+KLt/8Sn37yQ+7mtzx+eGJalB/+zpf87j/3L2It09sH3m3fMi0w17ec5y8peSalJ67bT0kKD/ef8Pnr32NKn7FvX7ONH3kUVe/0baPtK2MMWoe9G9sqrLvQ1DvTWuDuLNTAq90lTNi7UlU51USdKsWMpIVpZNLe2d4L335U3m++gxJzyl2uEk5mFdNMGp1hnqqe05m5nEgkbHRmMQobMrp3ELu67awZ1hw7O3InhVCX3UrX0SjYLesuFuNONxM/fJLFJR4LP0nOUBkCTR2eWZv4ONs9/2/0zL4LU9mZl4VSwFImlxm1BRtuPHTdnti26wFj+3Y/NuhkcdWaxfM0L2a1SDA/vINxsYvRc+wPD7xeiMzFY2npBwPExCG4PDlu4SQDHcOZM92nmlqh1EFKRxyAS9VTsihA+GGHv1/ORXQ3RVIhS0WskKQiVEw8SKGkSpGdnDZPU2pGMmVaxK/VmTAeOjBax/slEWIRH93NIsgZhxH2TWlbDNAl4CFLtK6RGA9NzZk0kbVpEaKQUg+sOFR+EVAh4t7kyYIOWmNyiJBpF6fELkH8/3GpuDq2TSbnjGrD2Jlr9RSmYUhJfmiZX3gmiiU3lLruz3y8PPPxaWPfNIqVT5Sq6mlVtz+Lm1OpMc1u4nUkuvuE6VOIm21LCFgEkmKRqXo0rnbAR0li+vVr3q3ZHesmu3+6wyC+i5As7qSIx7lZd6UlBtZ5oT8mv76HHvj+MW2E9av5fSsB8wzz91K6OENKBMjUOpPzFCKgX/749SjcksnpNW/Pn/OX/9K/wvc+/Q2en6+s9jPu377nNz/5Ad//5As+fHhkpEd6WVlVyMNovfD01LnuK5TOOb/h8ze/x6d3v8vondG+pa9XWvuI9o3WrrRtY28OFVyu8OFirM27uDrDsgR/M4IduwnbMNbNUN05p4b1FP7EQqKy5M6cDFbh+o2xdVjOQprD3U188UFyj4/prKTcqVLJVEpO9Owm/FUS1l1VeH92r+eSYOyJbz8Y7x+/002L3LwbDpx2mBc+ogM9SBkq0Y0cuHHAKqkaqTg9cKix7TBWV7ZtO5iOcIRz69R6faLWxMN9ZujEJLN3/tbY2hO2K0klFrHGdXW+LhodbGCWLup3z+4cundL3gkPiLAFXpZesYk38667JCglcV4KtQjQbwukkl3YJYeQQyDPxFbfmQw5eUAAkpwdVNwmNXptn5LEfUCcPeT4pGlCe4U0kVKku6uLT2qu9HwlaSOnxunse5JSoFRcBS6H0ZGS2HC/bbf/JZZXvpjL2ChuUFRc7HMwdCyK4xiwXZztU8LHpWTB3ymnErbh0XjzPJHS4ZI3sQ+FvCPVi9vABTmyd0x8ka8W13j36WSY+oQ0Qq8g6uIx85+p1hmjOTUwGNEqytY2Pq6PfHy+cF2dAnhkjDlVMb2YkA1ooaI0BBlGzTFJElDZSJgVv56Czy6i0fH653Sjz2dH8QAAIABJREFUWyY/ADCXn0fb4FBJ8oYhZbCwB7C4YFIyT6XPmSB8eBMX+aiHQyMc7BPvkj2CMN/6KXdY9IWjcewhOFRFkCTsdSeQGgvMX166fz0Kdyq8ffVbfPnlX+Xt/Vc8Xd/zf/3J/8rPn/5nPv++8dmrT9Gx0uxnWP5AWwe2zeRdSPugT0LpwunhFZ+8+m1en/4KIhXlPa1/dKbD7nS5ttltubdtwvt3wh/+idLGxMOrzPnVxvBkAqYESR3SuDwb+yM8VEVml1JbTz66WaXIoNjGqcDDktBrFJDi2JrinM56Grx5rXz2PWU5N6T4J9v7xhibQzOx/Mgp8eoh8TAnclhkLlNi2MZ1f+mWgduy5Ihts+Fdh2OEvq23ZDdprYfACKXCcnK4Qruxri59V4XL1Yu3hvsgGJY6KcNUYd2E6/PKUjKzuJ/FIVYx7ejw0GTbvehaS/TdTw9nLjj+WxLk71gejniOKuEeKK5g9TQXX7/nKpxPM/fnE+d5otaMsXHdrnTbkTKQHFTBZNQE08lfcxtCksxUCrXWoHgZJe/k3GMM919iOaKxPCLLRRoTaEc4+2mvyVsw/DCepoTmKyUZdRrUycJCIG5+fOoY8bklOkk2kjngfwTzmiS6pIAwIOfC0BLyb2exDM30nklW3LMldw+Xtk7XwdBDCGJMU6HE6+0msHvizjTD2HxpOMzY+mAYbMNYzM2was4BJR1sJZ8YS3XDKQ9ecN/5lDeHWFCHc2yw9pXrutKaM4k0YA8sod2NyUbXGxVQeywnMXqLAzNEW6RCTjMpz0CEGKeO2YrpxaGgYxI1gX4UTiD5Z5/EjdHK5B+14sX9AMxyyqQSjoPiGLge1yXOGlKNhWW0bw7hlNsUAIFfB+x2s/LGP3wJ9qJmY5qqT90xqdygzl/w+LUo3DeKGIOfvv8H/MGP/3ee1r/P518svD79MxTLPK4/5br9EefTTn6CscFOY+/vMIFPPqm8fvvAaal0fc+H50een/+I0d+DVtp2z9BXdJsZ/AxkJ4lxOgmfvjnz+PSKQkL7e1pfuYobF9mA5yd4/42hF0j3ynW6MKXGnnxB1BXPqFyVZDAV9Q4hOl63pTTy1Lh/o3zyWed8Vr/YWFHLrrDrO10bl7Y6O8WU+7uZ0wzsrkJ79ZB5s2XsozmPOzovv4j8B0pytglI0AYDK5bbIts9HUJpWKpjwWK+WGs9aIvNF6xHF5QEpEiEgnmt0s0Y02CIuguiJLrObF247oN9M/oKYxfGHlv+NHxUT/jzFciRdOPdE2HD6r/6cdPFDZkyLEvl7nTivMzMNVNLQlmQkri2QSrmEmJ1jHw+CdMccFLPpJyZC9TJucnug3E4/HmslXd1mcO7W8zhGbWMUoEJLOxMCa/oPEFNaHL4I7HdPMMP805Tj3ZTczsEFYOyeqq9+v5F1bvInJQuAzjYMJ8ASs4NHTsSfGbPYxz05KO8U9V8l5EJaAQf3S08T3JKnJbF1awlsFszunkKvYcrhy1xdcaSJP95vjgVTDLrlpgmf59y9WUgsoO59H4bG8/rO9Z9o/Xw2h4hKkJu0I62g0kTTI7gb4fJNSOFYVytJDlhuiDJsXQz9+URfKkOI64hn0o7AZsYwSbxwpyKv7dY9uZmABoh0JYgCSP5NW+iN0MoJeisoQVI4Unkr/3l4EgxGvmMGLaxBxbPQT0tDscMdfuEWKb+ssevReHe+4Xny+/zD3/8j/jQv2WMb/mNz77P569/iyqf8vjhyr5/S9Ovaa2xPhvWB8rO6I/UqUIypnqht3/E42WnrdDbTs0FY+bzT38H4Q2PT3/Cz9//Pbb2E4bAcl74/Iu3TNOZy767WGb1i6unBH3m8pz48OFCvyh1wCIb2hpzKeRUaQOeL8p1FUaLjf4AG8q+CfmknB8ad2+Mt5/C3WQsCRBPa2maaH3n8fqR989PvL8O3l+9E03HuJ8Uy4L2wZSFkoI1gMZJfpQFH8ncHZAb0+KAAI/AbL+ujGzuYJfFF5v9tpByBstosSSEWMjYLfnDxB3XulU2XHE2hjNhrmti7f5nT3s/RlCLDb/EIRKCizQ84sy/5EtNEVf2heuQGS66ScIyL0x1oqaMRPYhyeGM6l6rfnEloRR3ajw63lKqO0wuV6Y5UdNGSQs5hQiH7F2gFrDJjZNMYIB2Ye/+Dor4dSdqwQn3zlpyDnWo4/7qMz+GvxfNYI+lasfQ4nzrklc8yHgm2UBsJ4UtaB+ZIidSPt1Un6QdYwdWdLgIyNTo3e0Gcpab011OErjr8bYINVWsFrbaaD3sxWJyG9GiakA3o3uABWZoc8n+sBCUmHuQnEolTdl7sNSRoRhXtvaB58szz6vG5AaEGMfVqYdXjQbzxIugxdLPrx1fquec0VQZ4tRJN3py+7AUfxb1TE2Jgi8q5MNnWzxEOyX3xeH4Webvj5hP5r3JDeJwoqG8SN2TOxV6o/Ti/OgJ1sfd5f+z4vCW0yIJ6i4vXR3H2+5WF77ASpTy51xOish/AvzrwM/M7K/G1z4B/mvgh8CPgH/LzN7Ff/sPgL+GT4L/vpn9d7/yZ1jC9JkPlz+kFfjyzff53ut/lof6OdgDW9kY9h4V4d37RltPTOUVkip1ypzmylxAeKb1nW0fbNdMH0ovd3z/89/jqy9/D22Fr799xfP6+6z7zyEVavmCZK+xh0rdV94/f+D6vFLvXzFNbzG9427KbA/f8vPrT3j37Daeezfm0snJFWpPl85lg60nLhejDaVWt7K4fy28+nzw6o1wfwdTcm+Qbhtb/4D1J7a18/G68bh2npuwqXe1PRaNUnCqUQslZlC1nEnArTqLuRprOiVkcvxs27uHHeSbrYlfWsM7PGkgVbyoCc5Q70qLEfM4/CUF5TCuS8yXh7s5tsmAvrmVbmuJfZWbrW4KM3rny37HnpOD+udD6oglokxQpkh46Q61MBwbluzwk4tlIvgAZ0SM5MGuQ3y8dvP9hIgiyfHmlJScN06nC1MdlHJyy1uq+5lYYaRDFWEkqT66iyOaOTaMnhKeESZKEiRUoMMGKS+AKwZN3JpVh08Pu/ovJFS3Bj35IYopoh213ZfPzpWk94xaJg13FDS6w1IAeSUvuK1BeEXrwWkOZHUMpWSPXhMpwIRKwdKg5syWxU2nkn3nkPXryuX77v2DCcMSbUBXQbJ4yLAN5lwdIguutmoH3ZwU0GFfnfHjFrDiJm6mpDgAY4670e3i7YCjIQmaYMqe6AMZhm9KhIPl47bAB3/b8GKcTBjqIivFl8063MNEJHN4nqBOBmirn6y+P4oiLxZhR06FcasLXEmqxz3hB9ytSQnGEuk7vkXx+iTSftQM0eHvLxre4b+8Zv6/6bj/U+A/Bv7z73ztbwL/g5n9bRH5m/HnvyEivwP828DvAl8B/72I/BWzQ9rwC55EqZRTIm9wN7/lq9e/zf3yBbksrFvjeX+PlQ/Mp43XD/cUfosidzS9sO0X5iVTqqeWS/IRd20bYwwe7n/Al5//Je7PM/u1k+SKYEyzYPkBsU/RfWLOBabM075QdON+/oqJT5GSyWq8uTvxsa48vn9H3xLvH6FmV+ipKr0JrRceH5WnZyUtvnOaZjjdKw93sEzOWJknx84Zg2t7Zn8y1qvyuArvL87fPnwWvn7caS0zi9I34ekKl4ub+h/BqMdYJcSy7lQok3foUhxnb3oIdLxQiFcgLEbXfYU8fBxdhysAyXAosAUvgvCCFwZbj+60G+iHX4bSw5whx3JQogPMRUAUSwPfCzoTwRuoGFVFfHk4OYSWhyHND8t991G3jR216kut6GgQoY2dFqrDIzVlygcsFNDQtDPVK7VmclZqCdESBZEddCJVL0JoJYnRNTHEhTM1K2nYbdrJZD8Y8C5URLBUMSqJCdMFVWNrnT38XlrssrT4+7sL5AlERhS7RB+J1hM2FnormBRSFiouWEIyOVemUyVpQ3vDeneu8nBHOuTomodL7rWDZBe4iKHdl7ElUmWM+Pt+atxObbcTcI64p804s8UdOF0ENJbC3of/PXOBUut+YGmXsF/Aud3ByFA1urnitqu6ajKgaUle3C32GhzqTCPWlN5JBBmJPi4v0vcDXjM4zKp6HJZubmaU6tL5klM0wNldGZt7fNvxPMQX7Rbr1sN2ImWn+JGct38DsYPXaMEe8ad95Nt4NxG9eBxGzkX/xwnqv7Rk/urCbWb/k4j88P/x5X8D+Ffj3/8z4H8E/kZ8/b8ysw34AxH5h8C/DPy9X/pD0qCnK7VWHpbXzuhIVxo7VGO5e2Q6d07XmfXtK77VV/RubJcnru0DZHiwRLOdYTN7U9oo5LQwL69pY6XphWt75v3zj1Cewyr0DtOzj+6Tn8A5G/enN5zyJ0g/oeqm+VMSqtyzbx8ZrfB0NdR2h0RiZGp7p++ehFHMWSRTdSpYCTktHDdSYMRrd9+I7myOyxWeH80XaFn40IztaiwIdGFfk3fcPa5Je7GYBKNOmVKUnMbNc2Gu3kkfi2oZcBD8FV9KtuFGPnrEJx4n/ncntvi6d/jRDYl37mMMkqqzQ4o/l+WUGQrr7opIp1g5bDGFKrVkH0RLFoY1pEKZYL4zpsWxwz5g6nDZ/K5tO1y3lbkWaj6RUyLlQh9XN1YyL9xF/LAoIdsvAhnzRbKs8SF4HiSpe5tvHaODzc7fZmDREOTC7b3uESZrKlhy4Y5jPl64u0UnN2p4bDfWdXDdQi8Qp2ipBovceOSWDdHG0MzeC9ctse4u7DExplRQE4qEOZbMzNMJ7Zt7We8eFOBCk++KlYwsg2WucQ32sFLdSfjhZUHfSwqlCjUfvPMcIhwcxjBuQb6CL+ha76x9R5KRzKGroe5QOIYLr6wJMjK5VP9+EnbFuPhm9Bfjp5TgyC0N2DjQhxuJEw9frl4YdcA4Eo28wAvGIZtnJGQUunpwgaofPlOJJYDgk8Tu+zNGBlM0OQXQL32HXwR1umHCIR/Dd9lRB3T4foWglLz4nMciM6BLEoF3m3u+Gw6V9EHO373x/snHnxXj/tLMfgxgZj8WkS/i6z8A/pfv/L0/jq/9Ew8R+evAXweHErZxYZ4WprnT+FMu/U+Yp8Q2HmHaWMrMtkHJE6ezsLZndP+GJk/sq/LQMq90oLbE51DJUjFTLus3XK8fefftT/j48Q/Y10f2q49yRRqkhNmg9wtCp6R7GBXtmb47nxatjB4siZTCHMhNe3o3z2mM8SwBNgRtkbphcpP19uCFj82NqGjCfoV9FZ4uwvOji3OG+U1sBleFrROyWDAtjK604V1mEl/AUQwr6unyQYVycYlSa/BiwUf0YDn03UVCo790WmbcuLgWyagH3nfg20dvcGT61aR+uBUfrduwyERM5M0Nd7x4G2UypimxLN596+HxIUo5QT3B3YMwVacLDoPqjaKrJRWGDp4uF8boLJPLyJUVlcBiYzStxQtQCQw/CS6YGM2zGW1HZJC1kVggmDHYwNSpgil7iEQthZwKZoNSNG5UhyT2Bgmjmb92zJdvPtZU1Crb3rhcXD+A+AE/5tjLK4wmjOoFSYe4vmBLbFtib0IqiTJVLEKJU4p0e6n0VFxwFF28KqQhXK7e26Xk0OG6725JnFoo/5TMIAeXPCtYhZKNOYv7bgu3EA0MWlOu+0BNSFYw8/ygVH0CKXmAdDxkOLHvuAVEE4pkEv4EHXuPpSlOAeWA4ROOUx/XXXCgXyiHV9IYSJ59KLDNGyOTmJzU39QUjKjj/tTsPjJdqbOQZomO3n1N2gZJXXbuC/9DS+BQW4Lb/kRuOwEJCl/QNP3y88bbDqDn2EL5552TL3qdUyQ3gsEYDRLkMv/SAvz/9XLyn7YK/aeiNWb2d4C/A/D2K7FVd0pSnrad59Z4hXIWQApZPqHthafLe/bxROdn7OmZ+b7x6Skx2sKru8+YyhNmO92u6Og0VZ4en5D+4+BGP1NRqjUmjG1cMXkGq/R+Zd/fs+9PqExs1kkDtwDVwd5WLs/PjK6QBs7FPdI1DrzZbsbtJt7ySZ2QdAKMoTtt3Xx7vBq2CzR4+mg8PQrX4E5bx7smP8B9097jDwYMv3lcm2JYTm4pGThhtzCcChe9HJ0KxT+gKnCenXq0ZWOI0a5OwbLAcQcHhO44s+9TgkMdhT3BjTM9ZThXXw6qCfuIRSeKZe+SLWRsJXMbU+NWPCZoykmod0ZZYjkbh0UF5sk4Lz55tGaM3rmOQd/NKXcZUnVqY82wTMKSjaUWx0Sl+zI1JNxkI9uO2SPCBnZGdQY7eRFLw+PCEqQ0PNYr2W1i9yKR/JqACJvtYZ4VHWS0i6bFF2lj0PbA3v3cpWf3WtE9oTW+Z0u0Vmh9Yu+ZrcEkCUgxVrv3d0k7KXWqCWLVp9dg+Fjz7z86bs5k7g2eeGH1GC4VPxRYYv4+ZvGDyAb06IpHE7ZuXNfYfwhkXBmoJqh19macT+IHG7Dtg8sKrfm1k4uPaqYhBBNhiB/gkl+urxjm/JoThyj8ujPQwWhXVDbQDY7lOuoHqQjg7p2qepPV6wiZunqgggdXGyX7vaJDozE4xD5+8ZmF1wzePNwCrsN8zn1WQkxkuI1zTLV+/b68IDEjJ2EqTvnTWMx6Y6eB10dY9C95/FkL909F5PvRbX8f+Fl8/Y+B3/zO3/sN4E9/5XczV+xdO6zDt6t9GGvLnKfXFHnDtm1cVkPThXI20rMxz5W7fOa+/Davz19yd/oJo/8f7P2Jvc8USayXjZnue4zxTNs+IL0xq4A+s48fM6yy98Z1fWTsG6rPXNoHChkbwravfP31O54en3xrrz1Oy9gmfwdCEJx/qgyWhxOfffGb3J9fUzDG/oGmP6fvH6EZebgycrvC9WJcW7h+isAQWvOEDQloBXB+tro9q2Q89mry5WJPFoQ6p7UdgHbvkE2o0ZneLYVa3BBHtJOrUAbsL0TTUGQekGL8MzpW7KXoFIMqniBeS2Da6cUgSTHf6B8shcCeU3Bn1VySL9mVgUyGVNypTSCpwYCSMuepIEsiddjSYN9dfWhycIK9EE2TsBRYsjGJUc3fx5vXd/L35Dj4cmp4kMWO2cxUlLkoUxmU1BGGM05C1FJSYSru+GaqNJRdCJOnjT6GhzCM7gs6zGmV3ZeZh/ou4z1Ab2F+JM7EcUx1YoyF1hf6mODARq3fOm5fPTZgQ3KnkGBUoLtM/WC5iHevdiyEU/eFbfGDtwdf2o7PIkZ5Oxz6jkUhcutCMS/y7m0t9AFbMy6r8fgknk4kBKvIg0bkYKVggdsZokeOKBwqWBNvXo7FeM4SLBf/exphlR6V5vz2ksM3Gy+IXTUc/r7rkumcaocz/EXum8ODKUkwsJzK6V4nceOJ3uB+C9sAvxdcbn9TMosvRiVHQHi8Phm4KVpkpNbi0GAf/lkncdaKdR9zvyv4/0WPP2vh/m+Bfxf42/H7f/Odr/8XIvIf4cvJvwz8b7/qmwlg1wXTL+gj83j5KY+XK6/OM/f1NVkST/sH1nFhJKN3l1rf1c+4nz/nfv7cR6mR2HtCtTPne0QXLo+PjG1jqsY8KVmUiUqWgjDY23v2oWwhAEiW6Ncre/4Zl77ydFE+Pl34+O4j67rd3tgREVx2q9he1RyyUDglPv/qB3zvyx9yqieGNa7txLpmrs8Z6VcYg33rXFbjsivbiLTyfPiLxMirLqjxccrJrSkJ51PhNBvzZMjkbJCr+fJkEIsdOcY1oa1KXpIvzExi++8FXnIKnNchlJL957thll9E6bhI4XZYJRNqSp46Li54sRxBxAP2oHI5bqm3aCkzN5cf4Mq96tJrqc4ZzjnGyeD1TnmiaaWYMCXDSkATvYfUnZvHhdhhaUrwrzsynFlg6ja2XZXWvSBY8LSURkpwf16dkaMrwoykGbOJnKeQ3GdySd7RDUO6utmXORvkul1o3Z3hTN1WdO9K310N2ePaERHfLwQekJMjniPis1QLY1RMlljquuhFXKVCGgOzHR0rSYY3GjZCMh7Xjvi1YkFXPpZmY3iOpIchxHyvdqOs3Rz74rP2VB339PGIMeGwIjA5RDW++9ybLwAPKmoKZgcEzXD4LqBkgqlz0P+OYhCNyq12STQMB+d7BGQBKSUnCSQHW+RQM2uKRac7F2p8n8O66vZb0PsINTFHPmgoPo8ncjMwsxcMxPUZMXnmkN3Hz5Z4EUmTi22yQgMZyWPLzEjikGtC3JGSwIUMev9zLidF5L/EF5GficgfA/8hXrD/roj8NeAPgX8TwMz+voj8XeAf4MPXv/erGCV+YRRmvmLmM67jiuo3PD9BWzeeyze00WhyReIU1zZzV7/kbn5LzQlJGyLGdXvPNjqZwkM9+4dVN7bxEc1G0syUhFJmJklob0x0Lm3QdjdOZzNojX37huv1kR//fPD0pHEaxmgUy48SBZPkN3+piVyVVI1Xn9zx2Vevub87UynsanSbMZvZ1wnb3bzKxS3qdpmHEnIy8jHeNWKPmG7J56kYyzlzd1ZOM8yzUBbBivHUletwBoZFhyJ4Z5SyuBth9wPAHeUGKVcsKUwOeSyLUKdwONzhuhraHbYIhTDgkEsG7yqyd9mjHt1LdE/hanjcg8fF3Q/sP3xHUigopyqcaviXpINhkHyH0AXU6X81OdUyZzssVxzGCEWoSeCNGvh9Cj/oltk3WDcPo1Afbjjg6mVOjEnR3Ok0kuyI7GhZqNjNC9vEu6OhjaE7Zg2TQbfO83pluzrP24aG8jTghJHpe/dOTdzioMcpaDkhFMxmTCfMnKsskknJvbp730PGP8jOBfQloSlWzGP4mt4sBg472zGEXJyBM2J8zwE96JF83iTYI/7ZHxaxGUCDmRGc/GiROXjYQ12Z6/XfnIKXfHICuYX+tqHu8+HYmxfv2NYfql45htiD0RJNghMwNKK/HLbIKZNSj/QZ8/2AHn4rPmHZwbUGp9/JYSMslCq3CfDW8Y8RthD+gxPc/v2gZB0N2yEIyzmEYwhZnFklKqRYVos4O0bV190OA8aMLkI+3AfFX7fpn3M5aWb/zi/4T//aL/j7fwv4W7/q+373kSRztzxwmheEna2JOyWqctk/sDVhJDds0mFMAtAY9sylrbx7/j9xe1JXTD0sd7GMWcm1s/dH58W2guQ7SlpgZKaUOKXG4248fbujJlScp6vaER30K+yXYwHotLGUjeVVYnnteGyeotMUD7GtGd6+zbx6M1imhjDQsZNtB9mQ1Nwv28y703m4CdGAbXfV2o3nfBVs8wvFxAU5ywx397BMHur78DZzfiWkqfMwhG8fjcdLCEIkuNrdKOqwRuqdPCe0uCy/q9PzlgXOC9wFvrw3Y89QUuJ6iWinlG6jYpVETeE9bAcN0DuUbt6xKYSqzB3rBAl/CLxjG34zJfUF4rlmziUxpYIk2Njpw3Ft7RqmXd6tDXypGXbPN962yIuIaN/99xTmU6N39tW4Phv7hrMGsgdT1NMEZKbqise5Dg6JqIbIQpKQhsDmZGftndZ2ZzQxWPedy3Xn8ijUEuZIkcwyLLmVaTjcHW53Il4M+/Bin2QGW/BUnuJ7nlxJ2fXZbW+QB0Yn492z6GC0TjIPAenBLHGmiYupBC92ZfLPQM1urKgRPiFdHfZYm8//JQ5BAtLR8R1+dcIXciZxeKZgXUTBTy4kSeKjo+C6BItDICXxpKM4uPVWnKPtfqkpN8rrUYR9VotNNS8J7CNoh6oSIrKYQIJeqzH95eIpPynCpsnOiDJzq2RBbwyh22uKDt04Om9/vklc0JPCm9yDl5yPjRB+7hph3oGPS6akxMB9aQRBcg7nTgkDq1/8+LVQTror25XrHunhNTG0QoaJB15N30dK5rn/hA/7N2jd0P5T3n8QWleydJZYqIgB7UJu7yFvpOQKyywDkseelTB6H/tOZmJJyiKdTc27yOwS1028gBGIUwq2xnKfOL+G+UGZTy6nTkWd3jbBssDDfeP+/iO13qFjQrZO39/R5Oek6eKmNtIoZVCKBQtIeHo0rs8e0yQDhwp6tIXJSFWoZ2E6Gcud8eoNfPKZ/7sUZVGj3MP9lqhTRmzQrwO9CnYR2lVh7I5LirE3YdfBVGEpcDcLyxQXZfiDMBm6xw11xIapUFMUlDAUclqX25t2C/HQMZwa0QlZZB36+Ch4gZ8S3C+ZpUwkanhWDHRk9tYoOhwHxEhJmWpg8gOkCKm+MAAUl5QHRdZ9QsSjw5xTfBwk0CUMjsQDKrRvJPbwogatiaGDyXbHPcVABn1M7jE9lN4a+9i47hsfn65cLoN1TbTcmWrBK5yw751tGyE4f8HvLSb3lBKYC0tSqqS0BFRTSdlFKmNkhuGcbVvJsoE1tG00Gy7uGD7Jtc3thbeL0LofnHWKtJjYXIhINJGuMLQo+hrMl5aieCm3VJ4DxTiMruToQOM8VnMxUCnJ81Rx57+RuFn7qjnXGvWu3ExclNb80E0eZexHgLfnwRTyXwcrx6QxzJNvnB+db1OAP9wT/QiVMEmknEgVyuwHjwulDufFKNLdWSkpcPl0o9wGZHJoJ0TiF4HAyO0Nul390YQd/kCo4/z+KSRUXqib3oEnppJ/ac38tSjcgBvLW3LfYXV6XS33zPIV98sPSXlmvcJ6/cgYV0yFy8UTR16dhVeLKxJFjTkp1/2RMney6s2u83wunGqljon+JORI1D5Pxid3nadtp6bElCpt77RmQEdSDvGJww11StTqBdel294BThNMC5xOMNcrpX5Dmgwbldafudg7erogs3f1pSrz+RC9wD4cetHsPG5tuFJjwovyKXP3unL/2rh/tfP6XjjNyvnUmKoHK2SE88OC6YM7wG0r1/JIzztrQC9H9JMo0B12mF1/5H7VxHgaF13Jvni8GT0RWogcLAdLEKpB0UQbbizUh+shDYcrnHNuL9asdngrG7UWTtMrJpmQoX5qAUJBcHFJFfEIMTIkN0LK4gvaXB3MIiQFAAAgAElEQVQ/bd0NxPogMFk3xKoZpvLCkEkBtfQBexukmlxvNNxzJgfXd+pCyoNp7MxLRWVD6Ux5IVEYOmht47pufHx84vl5Z28xDew7vbcQXriiFDuMqrxTztUFUlOZKfkOszuwO3I6kWRGZMYDmB0PJnnoMezOoBorMjase3HU4b4w3es5++rFux94bxf21agKMvmYzwDbDd3Fl2gDFkluVdpdz4j5Z5arfzRHN+9dp4XSO4pr9l1PqeLmYXrAIOKqwhSUpIBbUhjpCDBsRMQYEIrFQ11bpuxYOIOUNSLHHL8znFWFHQV9xNeCcVX8gk8IKiNS6QPrM4etSnGr2CyKyQgGif/3HPiNErsJokjHsjNJunGvncedfLkZ99oguvQUSuegNvrZJRHX5u+1Ozz+BSjcQmLK9yh+YeXwedAxMZ/fktPCdd14vnTef9zJd+KLyOvwDiJOOqPSu7L3yt1cAEW1cVrg7pxYZkA32kionhAyJVXmPHhzPjFPEz3CVKUmam3Mkws4XvwyImU9wFFVi1TnWAblRE4GSdn7B7o9M0biae9sOlARhhjLbNzdwXICS8I8jGtzulQfHlM2Nh+hz2e4fw1v3yoPr3buznA6CTV71zTXiZpPiAhTzuRyB1ro+6BwJitc9B1t9anA+dmO3VFhpJBeJy84x2vpGi2UHeOdfYdu4j4YLdRuPhX6TaSWQtUZi9xgq6REZFt6x6Sx/XBhS8ZspmshpwbiFzUxhqoNet8wjRRsGcD4jqgmbigxmjc1PjYfSSg1um+icBf3SG+7sW7OeXaertANNxkzj/jKpWNZqOHJMYabdyWb3EWvd65bY91gjAmRgYhnHvbuyy6RF+zV30/nf5dSqLVQ8j1TeQW2kOSOnBaECRMX3Aw6Ig3YPcleXOSS1OhtoN1HDW3QV2G/mHOXI43HOdHupbOZ86MzDr3ddhddKSrU7Dr8jnKIHT3M1jtNbYRjn0NdPe4D8Ov3cEKsyZiyjxOjR1cPIOoZlphjwMPhAd/7CTo0YJegypmLgNzP3G5sE4lNqmVvGmoVssKqDaVBimDlrE7RFKf2mga0c+Di8J2O2ktpTsf+UqOTPpTHnhPpJdq1AVNNLHMYndnLdNN2L/YpKncajm3XklhKJkmOv8ttSXyEQR9WO7/o8etRuC1zfRJ668iYmNXlvR+vT1z5FplPPF4/8vNv/8iXhFe8C8reZc8pMaWZIvdYFU5TZsoV7BEbjSxKzeaBWXql7c07zz7HuOen/pwS6GDV7kwKE5Ylkx8P0/fhTI2m2C704i3fGM6/bgpUJdegeneD0diHUx334dCoJKhhrl+r+x9UEfIeopgO+8XYn51ud3+G16/gzWvj/t4dDUsFh3CENJ+Zlk+oaY6xLTFGjNADhDvP4TtdsLE5Z9jc+S9NhmWHTYY5Frr3Y3z3m3DsDjUcNHLkYAlEornrnpEOGhuxdODXZg5RJe9waoU6Jw7hzSH6aXvn+WlDF/EbsCRyKc4IOBZXBvveMPNAhGOheIz8yYJXnry73IcvnHvyYGFTvyE0VKL7IJbSzrDpc2JZPCyXPG6YpSaX36fUwTI23J/cF2D+/vRtBp0oVSnLlV2PcOQ4RQIZGMOZNZKd/pdkosiZku5IMpHzwlTOJKkcFqNDlaaDphuJ5irB2BMoGWy+wQ7WzIMEhjM8xojnGAV2u7ov+FQi5UiEmjIjDSwTCSyO2FiqHt6LuZR9vCxzIXDuDKmLR/SZT5JiL/4xuRQyYbkwXDafY6M3Wg/IJHyy9QXGyjfxgM9sOYOIInm8mE8FVo0Y9/cz98vMaMoTgz58WPVF4aAHi6p3ce8bsRALBZZsxPUYiTX28rWccHl7QHVHLyMpkTPMNbNkL8SKR7W1ZG6ydlD81IvtVDPLUphLiHYQih6sGe+LRHzp/csevxaFe/TO49ffIJY4lbM71mlltsp6/SnPz9/w9cdHtvWJhzs4LULOJy5bd5wYAS1sYw1u5yusz9SqLNPGqVxYZGFOC3t4Nm9Phq13sGX2daP1DmnCtHgE2Q5Nkw8zMrwrRJx1QSKvwrYqT18HbQ6hPhjrVz5iOsXIRTJbE647PK8e2FAT3nmbX6Ql6HdTdtx2SsJpgmsGQsWWY/Od00vT6zzkQp3O1LKEaCTANCvOb60+ykkuLKczRSptX2mt+YWUgSysHS7NWHt0/MOYq3GqQsHpTqWah/wePG2GF6DAPXP2DZNp8ogmcCc2Mb/II0zAo7vwrl1dhLB34/HdM3qfWM6ZaQFlsO8b2i2UnoblKEIHJpgdO+8j8E/7zptjPoYyYMJZMMOEps5Dr13IatQKaXZu+7RMlJqoeafmDsn3FiFEJVhenr5ixuiJthXGXnwi0ysijSTZYwTC5Y6wUx3Dx3VEqOKmVm5slTGFUjO1JkosNhGljYH0hu2dbp4tiSZUfFzyjMqCqNHbyuieZJPSi+FS271Y1eoGT9qAEs6QJApGnnMcGEaq2ZW7YnQbXDYLwzMXDJUstM0QTQ4DRK07rs+SIhjXOp4+b2jyoi7mXfURGCEBoWBg3bnPiBfLQwHroQexoFRvfo7MyIdl5jfePnBKhb0rxYStB2VS/HSXoTE1ODzjgRzDPw9JQb11n20wn5CG3nxSBAnBUuDuQT3NYe0s4F21ePhGzZVaPIHJRvbmo0CqYGlgIqRcyCZIc/FQCUGUamP8eVkl/388Wt/545/8CXfTHW/voKYTXdxvmDIwVrALc4E5Cw/TxFwemHPn/fU966qIrM5fNnjaYOIVU+4Uy8zpFXlU58VusF067x9X9qdG0QnGYLQRY+FEG5VuE5fWWVvHyEjKLIvw2f3gbnY4ZV3hw2pcN1BJbHvinSm1GKcs5OEXlnbou7CuxtPVmAtcV/ebUIRq5mk+YaNKs7ihnH41hi/b2nhxlysKSGIqd5ie2NbBVDqaLTrugVAwVfZ2xWxz+tNUGCNDa0w1ggqSy+QTzi7o3VVlKcMkfiNa9rG0G6zd2RwlK3XOkZjtgiQZLl0OSYELgdDb2JsQMEUj2+3WtXZfRj49faSpsCjUGgnN8VDMK8Owm9WsAW13Pxl36XSox4ZPK28X+MFD4ovZqBitG3t3684nVR5P8CzC81LId3eU2X2aRRol44U7aqhT6DWEPIZYovdCX4vb+baOje484IOXK85R9lAAh09EDiGLxC/DkiKilGpMk6s2wVV7KRmSlDbcKjWngtqCjuLvpU2YeYt9+xnJSIfgBPfaaM152HVKoe70wjmCLTQd0Vk4lNStYwmKehOyth1SoidfNGZcX9BFbrzx20oxbB5Gd6m4Dl9Cd3Umi3aH2FJylxY9qHvRfYpY2BLH79mX0uAYT8rumCkmfO/Np3x+95pi6j41Cu+vT3QdDrkNZ3iM3RsGUcKe2N+DETBSzJO+eDzog0YcuLGfCH768ZxdD6H0ppSUgjrodsS1ZJ96zP1ccs1YUobACExfsrPU/B7xhsApjH8BCrea8XiBy/PKx8cfc3eefLFYGzKUqSTe3imnyRc0VZSkKzI8RXwfoLl5F6cG8sR96dwBORUSCxaJ6/u1sF0mvv3QeH5sVFPOxfHc521law2zyr4XPjzDthd0DEoZvLkXPn2AOfvYfS4SY5PRRNGUqAVO4k6HKXtSy2jG3GFW4cMGl914H13nCadg5RTBqQ2kuxZGr9AvjuetEzxehV2M8/CpYy4TtZxpW3LqH4aOC619ZOj/Td2b9Nq2ZfldvzGLtdYuTnWLV0WRSTrDcmKcCMlCQItvQA/RREJyEyHRsPkGdOnSgxY0+AAIkOhYhgYg0SBly+lIZ0bEK251il2steacY7gx5t43EpwRINGIPNJ79917z3lnn73WGnOM//gXBbGRUgYikSjQbO0dYHEcMlwWLnL12Y79LUwCU3B6pGPVkLP7KtS5OYwSzbvLbtp/Se2Jl2zJ1nzmBrgM/l3JYMqVL1w6hxgLfghIvUrvk/geq6m78F0oXdr6Ykm62VH197spqEY2qnyxFf7oduSrnLkxEF3RvLjDH7AanAOcQuRXY+S7FHiOUIL7kxArDbsWqIIXWEWx4vhx6fdVWZ1RI7hwKIhPDB0odV4wgdiDJ02NUhq1NGz0lJo8BsYxeOCDFq4GSWoEGkFq78wyqqMXAK1uqUsFFowCYXXudXD4KGbnbKu6UnDaeAvrGYtKWRs5ZIYxk2LCRGjaiN0jwTqmm7ujYIgOUSXxw6eEgPSdgnXmyCUkuHQedat+aNYO4ciV6REI2uEgN5R09lbsO5ML+6VrgunL7ZB8MXl3e8ebV18ypUwSpZaFFGYQNxZTtavP3uXAdDn6BQv5/Hfg3bJdJqUuV76kSrXL3qZz0kGoKywBLItbKHRIzl+qF/CQ8D1Y9IW+BXEaal9WEhTph1JrzrQKv6U0/24UboWXRx+jxwcjTTPjxv2s3bTcmDaO0c2Lua9w8u7GN97GbozsN360ByoxLZ4paBmrE6UVlmWhzNU7vJjRbSZsVuLUqItx+lhYTbHVmKtxnF3GC75o2WVhOwhDH9va4ErHRd0IypLx+i5xOzZ20dj0cXiKwobGtAuUpfA0w8vBqE2YOu97OwZGMUI1QhFYgMULd60wL4FPz0IcjC/fbHj7EBm3yVkXudFYWWzB7EhZzvjcWbA2IrZniAOV4iY2qt6N9bR1xR8md2kG1BckmyAM5o+tmVuZZgnk5Bt0d/u7JId33wUzsMjZ3BnuYvnqSkP7XLTxIl2bsS5GmfG2DHVDKVycEkfvhGLPhlRrfk/0vEzrcujahGSQzLgx5csIf3uf+WnecMvAYI1oRrJG0sKgXAK9OYfAd035i1b4xxZ5h9AkUiURcctRFVzIIpVAQctAWQqtNiD3iaMRkxJVkdAIyaeENEKs3t1evZZj8I6PApII0fHxEJf+3sbrIs2PyU53JRJJ/mCLYFJQzs6LJmHir0Wl+0BHJY0Ov7UG4yawvRkYN4FpN5FF0LCgraK4wjClAa0OoZiAtNLpggFtza9lgDh0RkUzQg4UhFUvIczev9baPWuqU97cf8s72uvysXPDW3H6nAgQjDRFJEFrfoBKZ2F0R1tSHvjqq58wTvdIjJgVTvPK4/HoJb8rQeFyfvoB7C4EfSmAOBukA9d2eeHNeiCDf7VeFqL+ePjPqEJR34+JBcKId/idF2/mDBEJxqo9qDkKxItR3QVjdDfBpj5lxRi9qfoNH78ThVsMzs8gqbIdYLdxSl1KAQsuR6ePRrsshKAUOxGqU8Gswc048rDNaCscjmfq2igpYJZdWFCFdXGBiAb46ke/DzmR83tKfUerwu7BCfvryXh+hGqJ48nfTInOFU7ZGEYIycHPulPK1tjLyHa35e3bHZvhQAjPbHJkyHtaEGarDFl5uz1ymmdeFuH55GPgJsPrUbkdXCxTDlCfjCkEzqLUGmF1zuc2BHayYR8CE5DaCnLkXJ78wfPpkBy80GhbSXIiycDgMzxFfNl0UcGZ2JXeFMywAhfds4k47gioRGp1PC9FiFldri5+Yw/BsbpS1T20K9TFFYPNmsd0YYQYkegUqLr2DNBVkO4f4VJm7/RaE8YBPL27mxNFu4p6+nTr2KXCXoS3GH84Bv4gRL5QYdJGbJVRjKEZwwLjAnn18f0ZI1cDCqdsvATj2dQ9R7Rv/MXhIfefWNFmLOeEtkxOWyDQdEakYnomyOrmReDYd6DzpR3KCsm7WkkFkYhI9rO2Y+chJCQ0VKIHAJg71qVLQo9kovkEBBXTcu3WDOksCl9ASoYQHC64uR/Y7CLDKEzjQI4Jzf7cWGs0wYMotBGCB9eW2ijNWIrL2ZN6ZzlkP4yHHAiWnEJZCqfieHLCVYnacHirdv1JcBO1YEJUdV9wE4dJgnfzN/d77l/vMQrzPHM6nij1gp/7rw/3b7i/fYOkCQ3O0Hh3nPl0XFENHa65sFU6z7/2jr8LsrjAVt3EylmK5oyxzkhyyKqzWMQngstRUJurVcuqrEtgyIZRr4fRhQmTrPPPQ6Sad/NJfHo818aqDbrNwzjBNOlvrJm/E4UbHC/L0ZiiMIp3TqLOeDDx4FIR2E2BPBhTwh3kRuN4hhgqUUaSDOySdxg5jGg1Vl0dh2qN4zwTN3vG/cCwgc04sJToDmfN8eTTi7IZFlpTTkfjseAX2BSNIFMgTSNx2LDdw/jqls30JWOMbLOS4w1VR1KCIe1ZtZBlgXZmG4UpBT6elbm6b/co3plpFbeHPoMtkEIipwoELokmmxR42Azcj4Ht4J1nscJc4Hx2NaAA09hzElUhLagWohqDRFpMzM1YZqc1aj+YSoV6cScUWJfo/FdTT3upyZWI1hiykSYljX1p2lNNSjH07IcA6oUrdIVeFaNUj1uTTifU7tJW3aTaF1A+9bsTduf0a1Si4qnrDpNf/TQa/YEymJLwRuBLEx5K5aZURsukJuzzRD5XxrmSV4jVi4Q25WzwoMLrXJiC8cFckFUaHvbQ4Y0AmFZaceFNqwuzLJg5b1hRqrqXRk50z2ZnzqBGTtFjqcT5CSk2Qpi7H1hBa0WLQZq6p0vDNCCWCRZJIXq31iIxRJIZQ0pYhLWsoCvaF5h6WaJFp9ulHNnsAuOg3hRpQ2IipQELEYvVRU/qp6cLmnz3Mp+N82x9Mec5pblDJDFHhphc4VoMXeC41p4r2a9T9VxM654xiuO4Ts3zaSQKWFD2t3t++ns/dW6+LgzDkeU8o/iyMQQY84avXv/YGTh5ZDV4nl/45cdHTkWJ4tFzteKMmNqVnwXQ6N8b7eEafkOFvsjmClF1jNu6U6A5ZdSFfOHzIVn9/l3OzcNCohFzJGdvRCQ0LlYPDWeuoH6Y0MShnNRpsSibvbDd/TXouK1vbfNg7Hbicu4pErvjXRwig1VWaxSUKcN2DzsR8gTxxahr4TifGSwyxoltngjNaWZFCkajVmWxgukLUXbcDBuQM3lUUlByDNTiXND1rGw2lWkbCY++NJgLzGbkKE5RSJEpbdhOXzLGe6I1gh2IMYPtvJMNW+IAoR2QtvpySf3mvqSCNO0sFBOnc3VjJa3elUjz7iCNwv04cpdG7vsBV1jcv6IobXZqmhicq5ESjMmXRJMEUk5YiEQ83Ph4dIP+izhDa8/Rk4ASmZdIqQ2R6mb6EllqISTFsluv7ncutAjiI/Mswjr7jTUFkOyZkReBcukPgIULscoZBq13NwLdy9yfITXHQy37W06CC2jZtAcb9zFW1amMOQrJWle/RaIKW82MayEfViaDYOLYqkFojRyFsC0gxtwaxygsVxm6ZyuGziTQ7i9Tq1FLRbVcl44EnCOfnZZoxcdjw4gp+AIrRFIOXfrui1W1BcWvxbImsEhI0Q8mdezeLBBDwLrwSc2RUHcCbARpNCtXjJY+3dhVaWgO5WSPcqutMKSBnDImsS9lYF3Xfk28+K6zMp88fSjkzuIxQ8UngCEmD5OOTt9p0VjxReSFiujL56536PAy0F+bXPcCaTPyo5/+hP3uDglGaQvzsroAh+5BY4H7uzfc7h7IMRFiYikrH18eWdfZtRZmrKv2aS54t99tXEFQ6UW7X9PQl97Smwm5vMZeYC9xbiEEYo4uour7TFNPumlNPZot9Xs1iKdQmbq38lU52u0G6IeG0J0GIWBM+8C0ld9YM39nCrdWYzMID/cjtzeZYRogBBatxBFkmDm3M6diTpEbYcouh20GHx6Nx9PM62lLTiC29Jy7M1VnLAilwcuqiBY0f0uIwpALu637fyRxKlLORswX+q3v6ZvCvMDL6gwQzIhxYBh3jGNmwLfU2gwNEdh6uxW2TpObG6U9U5pQz8DZqU8N0Ml5ny1BqI4HWom01YMcFCEMkVfTxB/f/pgvWyC9PBLjkRDPGItziQWWwR/ypcJcBMvGtAvkNJCdoMWUA2NcUa2oBhcLFCWIL87c/COyVkM77pgGA1kBZegLqmEjDJMxZeM2GLeAjvAc4SCuTBy7X8hShSeEH5rSBmHKiaLGsYiPpaV5Ee64pEMS/rB5yrYQky+3LmrMS2L4BXssDT4UZc49ExE3ptcV7FxoTzNTVcKAh06oTzg0sKGxNHhsxqdqPGGeYhP8AJSuDrzQ60Lv/CX4vWutj8VmV3fFZj5K04QQMikOpOSJyO6L4X4jDXcPjKkiJKgV1TNSE2iitaE753kgwiW82LQithBYGFLFQvNlbS+Yqj5xSRdXXfxkkOw8/qJMuQvw1aG1GIP71FjlfD5Ri3XpvFGLw1GKXZkiecrkmGjN8XFRn0otw3mBefXXQce9/XOso/Zc34vUVYxvv/qC27t7YsoEcTuGw8sJK0aSiImS84YvXv+IIWRCnwzO52deDt8jsRJTcBdDFWoN1OLh3e2aXSadLgnuoxmv9gWedB+vgqNrypF9rlWXYJTLh/TGk+BUYKAnwHtzFoLj896s+7R15fKbvysh+8i4ybHrNP4aQCXaXGl0e5vY74VpGtnsb2nmfsppVCwqej5TlM++AGJMg3C/g7rC42rUtlLzSjPvKtfVWKozT6r4UmM/QqKhRd0/oN9ERWFZYalGRViaB/+auel8qcZShXMTBjIqThP0K+JPdIxCHEeSTCgJq8kvtI0sa2A5K7LCpNI7N4cCZjXSALEm2gzLasyz+5LHTWGzM/7G3QP/mr5h+6sTh3Oh8cR22xijMgzGOMG6Ew5iHBXmQt88woUzbXrp6C9dfYTmY3PDX+tluYR0HrTg+YLSTfYjHliQXEr+dcz8OA3cBohxRWJlxhkju7Obgmk0jlH4PsBTUgKVQ4FfBOHPBuHDGNzrvBOCRbtrmxMsnFKFc2uL2Gf3P3PMUZvTGB+b8efV+CIHHhpsl0iaheHYGI5CtQBzn3BaYC7GczA+DcL3GL9q8NSgJmjZF4LanL4VOqc4+V7QD1l644F3ZjG5qKM3XB4s3YQoAxYHwLMsa1EkZP/a5te5tsqUK0Oq1OiiJwctLnJXn1tEEhYU05UQFhJn1GZycDZOCKHTSC++H8KYvDjWBWyIpCETNIIM1NWo8+L4bkpX7nIrzWlwXb1q6GdeeO1TgDj0FUKXhQdDg2Hx4tToHXrpplWfF4C+KBTzn1OTsr/d8vDmltDTM84UPnx8x9O7T14cE0RJfHH/BffbO8boARlLPfPh6VuO8yO1NWqNHve2QF0DWgNaXUQnl1xHcfgiSPjcPfei7tdU+hKyw0Ph8kj05Mj+4zhMLn1atO7JA6j0zE+DJP1nCt0JsV/X3nlrp2+OY+Bmm3qo81+DjrtUP4mmrWGyIGkEWZDuipayUVQcI6vQmxKKQJSBMcF+WNARWm0cV/e6natyPAuHoz/4m52wHZ16R1fVFbzQLRV0heMZDgd4/ynw/ffw8gmoARuUMPipWptzWlNdmGhUXfrJXQihgK7kfIdZolqlLsp5rbwcTpSyshmF/WBQYSnQznAufrDEfkOXajQpjPfG9rWw3VdejYXpPDN9Krz/py/oXNlkl7/f3ArhG2P+ifDuNXwY3EDqeDAWq5yX2fm4JVIWw06FyV+qc0avi5jgm/8+K1oMLiTpqSsXet4qDnm8ksxP0wPfhA1bUQY5kniG2BAxthV2gAao4t3wS1AeVXlqcKvCSeAQAmfxvYZYj40yu2KNLiJx3+dmjrEGvJ6Vzqe93BN/KsarGtm1QCyJsgqhODWu1kK6JMOY8lSF7yJ8F5RvVy/ga/OibV1NaupddUruexKTL4AV9wtvneJ2cbdzXwwwN2VxbnwrLsEf6FxfT6LBnAK2lkqMgTVWhnBmyJlx8H8I0s2Q3MKh4YvGGFfMTkQ5E2VxG9roIizH5IEAUSJDjIgq5ay81DPnsTLkgWCzK0zripixmabuIxN6V9rFIYN5sYjeGSvGUhp5LaRw8degj/1uy+uHrVxdJq+Zkip9GnC+t+Eip9vXG+LYaGGhWuPp5RM/fPdL6lIYktsoDHHiizdfeeRZDzN5Ob3n/adfcV4XZ6/Urn+ocoVktC8oEb16Z4cQ/BC+0IhDL+qt4yQi11Bjl6R750wXj3Fx9fMnpdMb+0HeLsXZGyELoYvNHOcLXTfh57Hby+6nkRybL6B/M8T9u1G4VWGafGlyeTPNzqzVEEbOp8K5HHmZ/bSOfQRpwa0ZUxyYBqGMlVNzut+hJ4lI6nxjumxbxT2mO6uhNMNWN3qqBeZFeP8BfvXPlR9+KdSSyEHJY2PaB9Lgy4p1WQk3vixq7chaTxR9psnMkN6wly2ikVoay1IptZKTsJ8CAwo7x9IfZ2FehGU1Kkbont9kmO4Du7fK/rV7m8j6keOhsr5UjscztQZ0NtIBNgfhawXZKncPwjga77OxmqAHo5xWtmtiUwLyonzxHJCXSF0zH0Pg52J8cjMRTqbMqhC8Q2jRl4DS2SeXBJSdRb62HW/rlldpw4bCuFbGc2Y6NIYZNkXYmF2tV0s1jgG+U/hYwVb4c4E/74wWOgyQovTwC2HwLZ3f+NXAAiEkF1VUl0A7Buyd2kngzyVwy4jvOp1fTjBGFXIf3c9mfDR4L8LHYDwKPAVjBS4Qp+Ad1cVsCIPYLtOLf1LULu9vxqrAIKQUkOhRZU09cd3MWT8puDoSvCteluKQFS5u0QRUh+SCNkI/abr/Ioj/l9hCkOIm/QnnEjePAotc8NtADs5AEXUvg6pGWWdOMmObC1ziNgWhFlJK7o2ScNw3GFkES9LVlIAIa1MOp8J2jFh2Vau/PumNpjnhIENJTuWld6SXjtWpfY3t7ci4V2o4olTOc+Xdux9YXmZkBe3f//72Fbf7W3J0bcJcZ95/+o7T6cUDnDttJUZB06UBcb9rlyb16ypCiJGYXH9g3VbBJFx9ZkInRlhvra3X7M/ZpXTvcGfEXPImHRv36cwLuFsBe9CDTyDaa3PoQptNGhhDJku92uD+po/ficLtOJe7c+XUXdfqwros1HJmwSHx8hwAACAASURBVHhZC7XAbuP5cuvaFyQoU0jkLExjw+rKsqwkhWjKkCBtcA5Rx//OZxe9hH4THleYm1+MpvDpQ+DD+0Y5+ome98bdW+HmNXRdK+O4ZzPeIAhrObK2Tyz1GcmC6onIkUSirMp5LszLgkllSB6GS+88js/GcfWtehUjYIQEuzvl1U+E+7d0wYRxqke+W2b2k3COilbY5pGb2zfszMgfn9j/8kR+bZRBOGWYBaYz/Pi98KNPMJ4aehLiMTItgdsqnAb4dps454GYhf9LCv/QCj+E4N1RNU+cid4drZ17vVkSDzKwDcI4NnZibOfA5sXYHWFbgys8F3x0zg57DOLQ0FLhrgnjJdlanfO6GZSHu8zdTWTM4h1pEw5n49yx+GiZSCCIUxacuuWUKlPjO1HuxdgEw7JLTkszpqQMxZexBzE+hsDHBB8SvEvwwckzznDohSWmbjkgLtxMETYCo4ImOCfjucFLwQ/K1ZBRu9LS4QOj0ZpQSiVaYk2dKqf+5x5aYERR4qBU3CwriBKsOuRgwdkfgnduthLMvXisQxUXM6QUY1ffBbLk7iHSbQHUY8+aNY6cECY3SBIDXamtsNaZVRcvLimSEmABxdk+iougTosHN4yTMFpvupQr3c0EVrk+fn0dDVg/KKIx7IS4KZT0CPJCWxOPnyovjzNSAqhbyuYw8ubtl6SYiTGhwXg5PfHh43tq06v3hwSQ1BhjpBU/zCWApa7S1QsO3QgtXIBBLkyarq3xwIXYzcc6O0jsEixhPafSr0szqOby+WAXvgl9kd697PsboNUBmMtSPUlkICJFuFgf2G9puX83Cjd+sdvSKMvCmv1NEY0s68pJGqfV2IzO8U5JeJmVOgvLsrIZXiiL0HRkSBNbAl9N0XmudeU4VE4FjqWyFDd6Oi/KrI5dKh2KUaEscHhqLKWLJ7Ly1U8yr79YGCZXLxrCZjcwDpEYlFUqp+VEM/WtuRzQ9SPaYDnBy9MTbf7A3c2BzeQPlk2+pY/i0GWXFtBE2UywfQU3D8bNLpAGw0SQMfHydqA9LqzfCvFD5NUXP+GL/Vv0eODlqRJ/odzvF34iSruBu2L85H3g9/4ZvHonzNWLHy1yY/CAITXws5LZjBN5FP5OjnyKMx+tcg6esBKDd1HaumR3hd2xMc1GbAGVlWGIjKUyHSqbsxHPYLOBCqGbccXmSeI5BiQpa/JDNAfj7STc3Rg//iLx5X5gkzJBBW0rL23lXUr8UoXDEsgt9Y0/SMtgSjMjo5QAz6XxbVqZki/+lmQ8KWy7uEgNzgLPUXlM8KsBfpmFl+QZhClB68V6CrBLsAtwG+GbZLwBbpP//UHhVwp/UYR36qEMIURWgGCsGdqsHnZgjdYqtIBI93ZpfSkrypCM1QJyMWXRSlbPCvUJSFwmIwVsAWtIc7OGGLRb5gaHSLJ7e1u3R3Xbfu2e0AEx47wWLAoTmZwitTolcS0LZm4Mdjm0krlzYm3qvHKJIMrSlHpSSlG2m9Tj0txsqYmRYyCJOzia4FCL9dc4KflG0G1jHRurCOcTPD9DeTFy8fzUKIHbmzvuHl4RQiSKMNfCtz98x9Pz8SqEjEK3CXC7ZeklsEWwFvoi/HKC9ClOHfajL3SbOYxG4CoAlL7KugiRrAm16OfwBzqsIt7lBwmdKdNISYg9HJvgB8aF5RIxpu1IlORsnepQafrrgHEbUGa3o2QN1LMSc0K1/qXR6mYfuNn3N/ZkrCosRTmcV2gDWhq3IXOTt+zSjiluQCun5YXn0xEz43iurKtwLMaxQZwc+07JsOrMEbPuiheU/d3IF19l7l6tbrATHF/XMLO0T6y18nJ44XRaO40oOQ6rz5TFOL/A4fkDN7szr+6ku5H5JEBzocS4g83NjjSMVD2Tt4X9bWXMSsIl/0NKDOkVebylHj+S3x8Zl8xWRijKqUdWDfPI659P/I1c+OaNMS8jt98aNz/M5GPjyRyOMWnsgZ1FtiWQNDOah9KaFf5gEP5R84BZE0UsdF5r95sIkFCEmbBMxCq0c4HTwSO+OjYtKt759eWSNaNEYx2NwwCPI7yKgX9nHNiN8HZr3PcItaSN0ZQcC2urfEzKn0ri558qukQKiYMGnlrzTMRmaPQjMEbhvRUIcIzwlGGDL0qdnglFhGOAJzG+G+F9dvky+M+ZzdgF+Fci/GQQHhI8iLFX2Avso1t0rtH4GcaHbLxDeEkja9zwMRm/aCt/HhY+dP23iPtWVO1F1Nxy1fWpzp7RAKrm9FUpbiXgT7lzUEQJsSFWXMRjCha6SCS6iGNINKJ3hE1RM8ZxJEffVtcmLKtSm3KeV5ZS3K4geZd/gQ5ydtjKcysVqx7Sa01Yl+oLRjo1czGsGsPoPh3S3NTJqrr1bu4IQBWHdpIy3gfCvRJuBZ2MZXVdhs6gi/ur2OAGWF9++TVDGkjBT8zD6cyvvn3H+eTCoxRd6OQpVb3rNWcj6TUsOXINfiD0gu98clonC6jbq3qCTXMKYLQre8laX1kqfvBaV4texwmFXriHwVlqFyGOhECVHpzQcEtfiVhVjIQFoZn2Ru6v/vidKNyXwyWzIemWbJkogcLRFyMoYzKGDCn1bDyk8yaFUke0TowpUgaocYBxSxru0VKQ2jBOV5rUsroKrOJUNU2dala985YAeTR0gP1dYto2xq1T0eICS1WO6wvKETG3BZU60Y4RLYHSIqdz43Q88vxpJoSFmynQaqVV70DnxVhV2T1E3t6+5e7VW9KwI4TK2j5Q7VvE5i5M2JDzlk1+YBhumV9X7Mdn+ND45YcfaPaBp/mZ3w8jUTPp446Hf7zhp+/3IBv000xd31H4gZHFsVKDASFLZJRMsoyoM0ym5kk6FUXFKXFi2pcr3uWWBVYRqq7U5UA9RJYXZV4qu8Goge7y6EWSalgIrEF43Fa+y/DDJnC62fL1tOF2ytxsYRcqWRdoK5PO7FFyV0meQuWrTeMPFuHdojy2zA+WWKzy0hqldoMnn445B/hejFOAj8ETfoboBCCaLzKPwLPAS4Sld+IUZywNAn+Qhb8j8GMz7lW4EcgGucFUYSy+6K4C523mvHvgZbzncTPyjoWb5YlzfOSTLZTSsX6zLiBqf+kZMHP4z6ljiqXiFL7WCNV/sBoK0g/0JM408UzbgNpAihMyZcfMLVCKsrSlc71d/OOdN7TkeHjtUMTalEGCKz77e1hVkdqIKVLUMQQhdOZJ9+HuC2VrwoJ3peSLUtAtgFNwZ0LtDn3NjLQ14gPEeyHdSlf0gpaAnf0QwBzW2uz2vHl4QxYXHhVtvPv4juPh0Jep3gA6C4Yrq+cSAegfDlnBZ6qfdJ721RSrqVvNXlSSAnIBswNXWqaE0I19Pn9v///6IeHOgcI4Qkp+EBi+oNWu3sRAslBKQbuOQy/mZHy+N/5lH78ThRtgTJkxjAy2YWCLG+sYarNv8Q3WIpxXY54vYo1A4oYQHgjjBpEnqjxy1MZgd47rhcgS4ExjFfVRrPqyY5qUMHoYQC1+4ZJ4hqRtITUhDSsh+ujiy5dOLVwdAxsEgg5I2ZPrxPF45nSoPD5VDqeVqkpMxvEEhxeB6tjnXI2wEd7c73nz9iv2+weGYSRK4LQMPB2PGIVp2LCNd2zDRGIgaCPuJ9qrxHx34ofvP3GYlSzwe2FLJKMa4WMmzRvG6RbsnjIOzKbU8o7K4mnyCO5I4daihpPXqzUWddz0wleG7iaH38yrwKfqNrVlLtSTsKxCWCNRKyUKk8GgQmzisJEIz1H55Q38YoJPm0iaJm7GDa8nYR+FbELUhdQK21a5E2FQ70BXg3uFV8H4Pja+X2Fq8M4q79WuW/rWPBBWq1AQZjOegE2Eyad7WhWKGTNwMnopc2dBnPDDGIQfmfCTprxZ4A5jG2EUV12OxYu3KzAztn9LvfmaQ97zaUjc2gqW+Dat/Bmr8+IvzLPmp0Qn8nTq5cWgqAvZm1BCZczJU95Do4XqXOnkziJuR+0e7OO4Q3RDUy/cRQNmKy0bOeo16DmIMcRADJlYhHOrznm+FJfe7Dmu7n9wcUUMwaPYhNahFB9RPOvaYYdWuyALvaYyhQ5jhO70FwNsHoR0Z0y3QpxgmUGLYCejHX1ai+JeIt989Q3baUcOGULicDrx7Q+/Io0OD12WgG3tCs0qxCSItKv4RzVcZexC6HTc1v1IOu+6dXfFGJzfHy6H7AUqoRNOPERBL5mc9plRCHL9WS97EVMXV7XWA0S6cZU1NxuzGMC60M1197+xXv5OFG4zWNfKui6sSyZnN4ZvsfO3+xLguDRX750TIY1MQ2Q9bREbyClioVJsZkWR3CDBqRTez2c+riufFvi4GAeDzQS3N8I0dg5u8Atez6BZsMGoozBMENNAChsCmSGdCOEAosQkTAmiVMp8YlZhnZXz0Xh5XjnNvtyIqpwPgeMk6Ipf/UGQEfYPG+7vN9zdTIxDwKyyKYE8jax1YEreRQfNjslZoTITNkA0Zi0sCMEiB6s8irCTzE5n2vGRfTFutvcMwx2pFawVavvo7xEBSIgMeFx9Blt8SdW9s7NpN3PyBWMS90HZJVdjxphoMbNGp2c1GVhL46UpkxkbU1IfmU/R+BiMX4zCD5OxDJFdHtgT2Kkylkpqhbiu7JpxO8OtGpvkE9aqxlSMsDgbqFXj1GCkeUrLhaIbFROnDQb1rvIUPEM098LZYk8zV2FtBs0LSzK62s24zfCFRl6bcGvKphqbBEMUUjNyPzhSBcYtcXgDwz1DH8k17HlJhVfySJYnpzfWCwvBC4KLeC5KgosUHKw0knajf/EpISRFpUFTQutXTxzW20wDY54ItkEtua9KgZrdWz1FJSXPZ00hErox1uWgvjgAuvMiXoiCM4lau8AGHohBVwleFowWrPuBdCqc+QRQe2ygClcGjmpvmu6M6ZUx3cG490O0VWgnYX1U2oJjyQk2mw1fffkVKSZIiWLKu08/cJg/Md44f7p1u4ZWBfryua7O1/cMzU4x7dRR8KJpVxqsM4P00oHrhVME4L/XbtfqbEBfLkuPZWum3n3TF9k90tDXw/6+XA5OOs9bJHRDKr2+N8Hc/bC1+htr5u9E4e5wE61CWVcO5zM6Vw75kXbb46kDlCrM8wMPN3+LFCeOp+8JaabRaLxj1kcwZSsKnCnthVM5cmgHHlflcYU1wHADY4bN6GrN7eSUwaW4fWpoQlsydbdhGCe245bNtMda4Hb7xGruyDYmIXUP5bZZqUdhbYnz0jjP1UcxjHFw97C2KjXgEuh0YdJU0lDZbN0pUGJhaoU4wXx2WXbQ1H1YEosWSnlhc1hIj4179aVRo/G9noFGxVhsYacHXi8nfszK7XRLiJl92GN65tFO0D1QlEi06HmM5sEHY4Z9wjnE0qlewQ3xv0yBP9pu+FkYuauZKfjrXJp7prQafXqhMZoxmE8sq8C7AX7IcBhAQ+OmNmIWQonkUpGyEtfCdITxPYxAvoew9Zu+LM6S2cywLf4TxI6N6KXLSd1nHH+ARbxY1J7p5xzrvhDHC3grnsNog5AwvsqBn4lwv2Z2IXJbK8NaydoI4r42tR8gEgNCIrfgDoooUQvDICTLZJmIMVNZCavbhgJcn+rLCk0ugp6LX7ezMySCWPPpOTg7p5n2pbGxGQP7lAjJQy+cX96DmYdIaJEUIyk0oilZekoQ0FogWaBou0rZr3oUvXR9rvIMPRQjEHwScwOWbonaGRMGxZU5/bEWqroUvHbFZBqNzZvIeN/Y3XnQ9vkI6ywsT1CegSpOs0R48+Vb9rttz3QMHJcXvv3wF8RNY9j5tS4zLAdPjqIK2OX9o8vVe+r6hTutzTvviy8Jn2XtF+1AK/TrwZXTHpNTjD0Jns6cCQ4rap9Qe1eu/Xtr8EWwBO/m3d7B6Z21+USiiB8CzSmfF773X/Xxu1G4geNJeTw0hlyR9UANjZexEEdlu/OoqqIjD/s/5qtXfwurFRbhUP4PNJxoYaVUH3va2Gj6wsLMqZw4rmcWM7Y7ejqGR54NWdiNxt3WecI5BIIqSQKymQj2QIgb9psd++0d2iqrVhYmzmUmBl8hVFU0CpaMuS4cDq2zBGAaI9tNYkzeDRyPQpjc6lNEqJzQ8BHSFkkZCTMxPpHbGdWCtEg0ZTPeMIQROZ9obWBzhO1R2LbAQOAxNJ50ZUE5hcqjJG5pND3xalnZ6cG9yYOxDRltmTM98dt6r2ed4iI9/DjDkJ2zFIFNgD/UxB+HPV/KhluEmyBMoyCl0AZlHSrnppyqUsxIEhiDe0HUHPg4wsekLLiwY16OnGf3EslzIa4L6aS0JyOcXKUpq8HW+WTawNxymrMFHlFK6BSwvpTymCuulp7+XNpVrnzJGdS+INLeaRWDkOAhCX9zGvkpke2SCSbklklrxU4n6izM1c1WizjPfFgrMq5IqswR1iisVjithXODcdwRk7Iei/chvat30yY+v9j+io0ezgzXbMRLmriaHzyqTnFDnHURxReJ/jWgEshixGI9hch5wzkJKQSaCSLO7b50y61T3q4aEHM823AmkKkvNC8FSjqObCgqzhap1ShWuXChJXTfEhOIMN0J21fG9hZPeiqwnqE+BtaPis5cMxfTkPj6m69JMSExUlE+Hj7wMn9kcwPDxg/BtoROcABKP/i6yZX1A+YC+13k6yLdalXoGoA+GeCF1S6YUd97uR2r9NQ4uy42o8j1gHIKaX8/nTzkMFHqVL/mISKCn5ytuqf554Wp8/1/S1bwby/cIvIT4L8GvsIP6f/SzP4LEXkF/LfA7wN/Bvz7Zvapf81/BvxHeI/wH5vZf//bvs+HZ+Wf/EXh8WRMWxfQnLfK201kujU2Y+RGvuFh/yVjGKlhpbZHVI80mx2X04GyVtamnNozoTn9ramy2ws3GzivxqcXrmNqHvxBV3X59hghSHPzqhCJTNzuH9ht7ljLkXBaSfHElNzXRMw36scKP7zMfDgbCxA3MG0i221kSBecK0AKTLfG9KDErTFszlT5Jae1YLIj55lmn1jrAaWSY2YgsLOBXAbCWpnmieklsSmFtVOeGsKLGCdrPF8dBxvvqLy2wrYcuLFN75i861rNOmXKsxEv3hkExaInkI89OeZLFf6tZcO/Pt/wYHs0GDWcCVbJFokoSCXHQhiNKsqiyrmzOiwbuhFON4l1r6zJCENkkczhDHKYmb8/sj0W6moMxS3Jz9HvIj2Z7yqC8AJ8NOHbBB+ScE5dYi148ouL3a4w4XU5dfk9n3+9dFgi3qmnDG+3wtcp8rqObJsgi1JnCHNED4F1bZzM2R9Hg8lgPC2ceAYbmfcTT6K8o/KdLHyikTcb9nvlw8vTVeqN4SN5p8hdX1s3XLL+81wx8O4mh5NIIErPQ4xXZSVdoBNjJAG2rJgtEJI7BEoipUAKSlsbrRh1vdD7BLOKSpduN1B1M6b7+z3j6IlK5+NMmUufKH1a+Ey8U0KIbnfa4QHruLGaQ5C7N5HptrHZ+hZxXuD0IpzfKfXJ9wxmoMG4e7jj7u7O/X5EONeZ7z98S8iFYcK1AVWYz8ZyAF0DWvSayANelD1IWq5vcrjEoGGf868D7lx4uXfk8h708Ag1LMWrgyC4aRZqn/NJ1ZAqBAtop0MOwSGppuZd/LWZ/sxgacbVljcl6VPMX/3x/6bjrsB/amb/u4jcAP+biPwPwH8I/E9m9p+LyD8A/gHw90XkXwX+A+BvA98A/6OI/E2z39z7rzO8f688nyoxGzoIux/BV1nYjI3dtGEKD4gVan3i5fhzjqc/perMgpHjSNQNwSqn+cyyU0aBMe242yXSWMnpjGAco/uXXOwaK0BwOlMzvxny1EihMqbJ3ceWM+fyTNUDMbggouIJ4S9n+PAEn05Gy0J+ZQxZuN1nbqcN0QLltKBtYXdnvPlKGG4hTrDdGUkWSnkkZY9ra/rCWhtFYdUzdXlioweGtbI/rKRfwPhdxBYXCE0Ctxao4s+1dTJRE3i2xq9MiVZ5a2duJKISqAaR4J2ctf7YRcQaTQpraMQA90H4Q5n4u2Xk775seLPuKZJ5kbOLgGwlEQnLiuiMSEODsc2wBuMpw5xBd5HhdsO4iaSbhL7eM/7oFdP+lu34gP1w4vkf/gnn//MXbEokWPOlvYozDcRl8Z+C8IvsvOv3yemEh0j3ke7dE//3bruPx3jwLf3z1GvglT2QIoxi7HF1pYjzbEUECYmmjbUFn2pMOFWXdCeDPFc2v/oAxzP1duI5Kn+WG3/2MPKYjZg9wODwnFgO9foaRXvH+mvFw2O6vIhL4Jo+745y1j8vsN3vmKbAdnJTpFZXYohIGIgiLE1Z1xPaCsSOuMaAIl5EL8vcy8l1EarQx3w85He7Hbh/dceYs/tv8Mx5fuxZmtKhJz9gLsk/zpLwCnhZeDYzxp2Q98o4eTNzqnA4wvzeWN/hPmYd75UY+Pqbbxjz4IcTwtPphY8v78gb94VxCNWYj1BPAV35NZipv6dyvRP8I+B++v3auvzRiIQe+nCh+/Xifhlxgh8SDS6OJd3zXq8YPlyW435wpRiJkSuj5KKYv7QPl9d22XmoudHX9Yb4Kz5+a+E2s2+Bb/t/v4jInwA/Av494N/tn/ZfAf8z8Pf7n/83ZrYAPxeRfwr8m8A/+o3fSIVlhqU18l7Y3wTGjTHmxmYQchBg4eX4z3jRI6fllxQ5cVzh3IRNDWgJnGvgXI3bnTBsJob4mrvNxPb22Z3FYqTOyiyG6tGXnieoLXA6+Il3myGmQo5nQjhSdaCRWcszygHMKEvkXJTjbJwXz92TCaIZOcF2COyiEK2S8VBXRbn7Ch6+MvLGObIhBFJ4YL/9MdNmxOQTx3lmLkeeT15d9laY6oHNi7D7Zydufr7Ce2FeAskaE0aRwAgsv7ZQGbqXwgvGL6l8AiZg1MBEYktmbz5hGL7FVyrVAtWEt034qd7yb697fnbMfHn2In9elSINSUYmIPOKnc6EUnu34Zxd2UDbwjIGhpuJabthSAl2A9uf/R7T790zbbeMm9cc7k8cvvvA0z/5BaXHmKkZK8aIURCekvBR4JcRfhiEd4PyKSnrRRxR+4JHuAowLkq5i2mQqNMbHev8NVYHvZA2t4Y9sUIMbIfMLidyENrayFugXRR4bp87N5glcGgr5XllPke+H+BPxsZfpDte7jYuu4/GZhMos3OAL91qZ5hdR4HYzZlELvJqP2yi69iRCLu7G95+8Q05JZDGenymljNRT0SpNDKtVlRnF9VEL+itqQvFQl+YdT8VNd8RXLp7Z74YRNhuN+w2O4aYUYzDcXV+desZk5f3L9CVq/3/03dXXpsEie67M+2UYXDDr8NROb8PrN9bF2tBaP7F2/2GL758273eA+dW+f7996z1yCZzlY+vR6G+GLLSxUz9NYgfcD0t7orFSxRCj20L/dC6MJIuPiV2Abf7L25ZILRVUWIXOv3awvHXp6j+RTG69UGQhpr7l9dIDwHph4a/MKcc0n7tmv/Gavn/DeMWkd8H/g3gfwW+7EUdM/tWRL7on/Yj4H/5tS/7Rf+zv/ojXH5gX4LlHdx/o7z+OjKOBhopVTkv33M6Hkn5zDgCNXCuyqlID2fNPB1nJCnzKbAB9sOGaQiMm5XaKkPM3I4btilyWhW0stbG8agcXvwEHTLstoWcHilNKeWExYDxPcN4RIKyVneku4xjwwT7e7A9jFkYQyAXwWaoraKxkDfGdKdMN57wY4C1zH76htd3P2LIkbkIh+NHlnLieIYsN9j4QBv32Hkg6oq9X+C5Ia1nAQpMKLl3AQPCPYEv8UzLRGMBXnA/7EjhK4wfE72rM+drX/HuOvBqFf7IbvjpuuOhBWxtPIWVmcJLU9azK/ZsKbAUNsEYO+xQI7QxUDZC2Qs2JNJmYBsiOQTiZuLudqClhmaYtYDMTOnEeWwcDh4FdxS4RUgmrCIcRfiY3YPlwwjvR+ExCjMX6KvbvMbOPf98a139vtWs15nPvhX+L/dhXsVdFWOCu2TcRGNslZAqcVuQpAxmDBg7hbkYp+r+0y+rcSjGd2L8c4Ofq/H985E2BFo2SnURTRwFW+3a7nuN6IZLvYKL/OWuO8eLPajz4R8e7nh9/5YkmUrluRnz/AzLSkwFk8CyFqQVN1RrIy16vmPpZHfHUoOP+bV7eAeXd6v2uptg3CTSEMgpu89J90+n4gdJf6+9WPrvzTq80Ec/icbm3hXBw9YPo/OiHB/h/E5pT04KuNgoI/Dl11+w3frEqyIclpkf3n9LTK5kNPNgjuXZKM94AHG7NvrXYF8uzJ3o94i/qXr14r7UaFO6c+al+H7+p58DTi2M0FMu/PDtGoe/tKagK6StXRfkIXTHy0hPkw/X15eiIBYYc3Dx0v9fhVtE9sB/B/wnZvb8GzCYf9lf2P/jk0T+HvD3AL8IsYtCbuHrPxS+/n3Y3yn7rZ9O86ocz2eaOCXrkozjWv/ENt0RZc95qMz1TF0dfDTOWGis5YRZRcLK7e2OZc5M4xfknJjXR9r8zFErazeaOs+GWkHo1D9rbDanf0Hdm+zIkm3ped/ajZl5F83psrkdSIlNUVRXhAAR1Eh6Bg0FDTTUG2hOQCM+AAENpQEHAiTwETSRAEIEyKKa0q2qy8p7M/M00Xhj7d57cbC2eZy8VbdKACUg6cDJyPDw8DB3N1t77X/9DajiFDbBaIOoTfa9U7aNWWdGp3jN5EEYssU9DcPCJhbbj4vlJuZsJKy2uWXT3tHGgOhEoEHU4VVo2OP1Brd9bek4u5G2WfFoIdUWqVGbcAuFLYGvCPwMMftULXySwsUQbDzCnhVW4fofizALSH7Fmwn84olu4EOY+Rhn8JmgHr8Ibkwsl4lpSZRS2Arc1NeeoqNvPX0HcxPQGBEccSm0BdohE44TQ1v49uGZvCjvPh55+/037Lzyh1F5yPCI0GI47uJg9soxwFOEYEpiQQAAIABJREFUj1F58ErvbOi1XhzXbvXzE09/iGevF+H6oDUCzaPsg+cL3/B1bHnTBHZOabQQQyZ0Be8LTk2JSDFfk6EIRwqlg4deORblTzEZ/EM/oY9K2AiQKaWYiAwbXsFatF8WFS22+KwH7gPExk4dABVhu+3Ydhs8DQuFSziZq+EyIzJTxPyzNWGUs1JINYHehrgmkPEV3tAVVygv74uKufaFNpO1p1CYc2ZKg13Dal23Unc32TB73xgMgqPqSASCsr8XtrtCjCb6OZ+V/qOQHjHRU6HCE4JvPV/95EtLmhFjvXx6fKDvnzm8MiZJLsJ8cfQPmTS4q43tmlSzotjX77114AanVWtfjPFhST0vcXjX4n/Fu+sOrQgpGQ4Taltcql2yfPa+iavp79nOSS9ii4WzAm67hSqKEoMs2yaw3zbm5f7/hcmUiESsaP/3qvo/1ru/F5Gvarf9FfC+3v8N8LPPfv2nwG9++zlV9R8C/xAgdKIVTqLbO3avHE2bCQFC9CQtFjoba9pKNNvGkgqbILza3PN68zV5Lsj2xGl2NFos3KCcyGmmsJiIoAwoEOItu/DWCoqfKfnCNC2og34quKPQtkLXBA67hq6daZti6jd1OPE0TinRtjdtpE6XV26oFe9pMBZLP9T839mMbFIqTLMg2pJTZJ4WlunEtDwxLYvFiqVIcZF58Rz7iWbJvHIzO13wCiepzAAcScygyKTKji2eDugFHlB+TWESoVPHlsJMMQXlZxVNFaQEWFo288yl7fnQPvFdM6AOXtPybm7YVrFDwjEXYVHhpPBJLcrWI0zBcwxCIhgf9zwjOdOGwCad4WGEQ8tlWTi//44vv3nP3cczBeF9EJ5C4YIpG1WU2QtDgGOAkxeO3mYV2XGd/uvLufXZuUsd7FHpf9bx6Lpo1Qqekg0Z324iv4gb3vqGDiEUmw8EEVqPURuLVEtSayAu2Oc9bD0EQQf4uCgPWcwP55iIUxV21a4LBxq0emfw0n1r5U1X+MeH6n9ew5GdoUj1fnu/U7HfWZZiiTyqNddQ0OwtbDrN+GhCD/E2Cw3e8N01fcY42TWvsnb9TQvFn5lYQFuGGaZlsOJWVqtTkOjMpK1aNIRoOLEWcxRsD9AezPERFYZZOD0V5idBZitm2a0RYXD/6oabu5urv8cwT/zmu18jko3+qUpaHP0DDI+QZ0uTeqkvL/9znUmKe8GUq8LRToRVOKR1HvIyIPn8edbOPKf6eTljkbwERayguv3LdUFYO2vvIfoaoC1CWswCw4kSBbatZ78xSf48/2sWbrHW+r8D/g9V/Qef/eh/Bv5L4L+tX/+nz+7/H0TkH2DDyb8G/G9/0d+4vjlBiBtb5acs6FBoO2MMiLOiPWYbRDQKZYaWhkPcs4s7kls4zybV3m6EJjpiyCbEyIY3zVIYy4TmAeVCCC0SEk2z0G7gkuA8w/kRbg/wOiYzUGqVLjYsy0g/KuNgq2pcPRFklVMro1ryx5yVfp659MKyCAvw/FR4+0WhCZ7IPSXfcz7NpOkjyDNz/sDj8zPnE5Rsph2nS8/j0zPjkvjJ5cLOX2hdi6qJKAaUUUcztS/C6ApzSTwJfNDC/0XmE9Di2IviVRkREhmnCZVYObmZXByyzDg98twd+aPtzK+iddQ5FUIy9alTwNlAdFZYAGrn68UjjWf2BYpJ6+d+YDhCWzx+q+hfv2dkT5bM2J/QjxeaizLXRRBgdMpYdwmTFM5OOHnlrEpfrChW5fBnTEbbqlsaDVTbCPs+vRTyqidh9dVXtYv2VdfyutsSmmjdVhoNd9UakjsXQqWOrcKKppgIx28zunEcnXDqM9PsrICmwqwm//cBXGNfjX5mOLJO1a86vewSQjTaYCkWVFwwWqz3iurMUiYyjnlZmJaJlAteDcbIxaC8ac4MZ4E0ohtPc9NRxNgOlkUJm0Mkx8JclFSUYbLi5DpBGlhITJJZykA/CyllNIvJxR3sbra8fneguIKEgAvKkgfGfmRYLEtvezD5t4jRZ48nYXhQuBhEhDc2iSiWhPPVW0IMiNh7+Hg58fHhA4eDLTBJYRqVy0djk+iSX1buFbNYsfarMCjjijNJO/VNrnaslmJUt2P6W//sSUGN919JIjbgF0cQY2F9zgO3yDnbDSrm+OliwdnWDoA0qYmp8HgVi2sMtpD++cDFy+3/Tcf994D/AvhnIvJP633/DVaw/5GI/FfAvwT+cwBV/QMR+UfAv7BLhf/6L2OUVI8c21JE29J4Zz4Lxwu00ehL4qFfHMNF8TNsSsdN95rO78j0zOWJGM7cNY6udfgGisyUtOA1G3c1OXKfGadnptDTNAEXMiqFdheQKTMu9iFsKOAz3Qbu7zoChXGYOPaFfiq8OUAblM4YWLTBZNcNlkvYJ8c0FoZjQZIQWzP2mWeHtnt2zRcspWG4XDgdP5LKJwpn+gF0ijSupSwTz/0DUx5wpdCTiZ1j2wayu0ddS5ov5Dmz6EwSk3lfnIkCfqWZb8TyAbXixZNagIQTU2pRPcC1KF5nUhyY4pFvd4l/uYGjOOZU2KC0oiRxtN4TnJKcZyw2nK0CxCuOVxyQEyUVGJXLU0HTwuIcLkwcOXFJJ06nZ5bRpNIJWKIyNzAE4ax1IVTljNIHGANMKNkc8Nf5fr0U9cqQsLXFFtbgMbXq1YDIOvlYu1wRePf6lndffskmbND6mpcS8eOZcJlZLhk3KLEB19j2OxdhyWZ9Sw/tW8f7Q+Y0mTrT0r5todOldpQefBQkWEPiW8gBysVcFzVZCIGuQ7Zig9VQzYq8QC4L49IjooxLYpgGcknWkWOD07QI82jePnlJ5I0n7ByhKQaBRINnmgU6EVwuzMlcK+esNNEjsVACLM6RUmae+Zy9SGgafvHzX3C4ObDd37DdHjhdnrkMTzzKB+bL9/g4s91DjMZ2GifH+FDIR6sQzlVWkAAitJuOd1++Ne6zwJIz3398j/OF/X6HizNLSZw/wel9RkehpjG/YGBqu8krZLZK4usu87qA18HievKu4pt6Mv0ActMKdquu00O9Kl9d/YxLFS2VYt5GKUPBIa7goon1Ym3dSwd5yUj2lLkYqyk6YnR496/Zcavq/8LvLv//2e/4nb8P/P2/7Lk/v/loU95lgXEu3L22Ke8wFs6DCUBygeOpUHLgvtnz7u7n3G5e4f3Eop/I7nv2N4XWH0BmlMKUMsOQiAJtyJQF5sEu7BgSS16YJksgH1OmeEfx5usco+Owa3hzt+H1zY7pnJBi+YlTVtoGdh1QhDyvMllovSWsD31mHqCkujVthKSFfiy82rdmR5qqqf10IukMOPISCFgQ65J7pnRk1MyTg+ed0G+Em+jpunumuMVfPEu6MOXFYKDKVBiw7MRBhChGY1oqTJJqqylSHdJICJlJMh/jme/2mT/t4BJtsDcoPGlm4woSHJtYPToS1qkB2QmLw9wEWShacFkJCaahwAxJPTlCaCdOyyceLk889xOXSThngx2eApyjcIpwEjN/mjBPkdlDCTY0k2DFPi9ah1GVd4tdNDZ4rZixVP8ML9WlroolArbT8w1vfvIKt+1IdMw5cPGCz5HytMDDiXxRtHhkUnwL6mwoeVHhonAalKekHHfCeIQ8a01dsSqx+n7IAhJNASkecxoQC2TIGdJSXe1WA6eVCljrk3ilny648QmRhWnJzGkgFXPrWyabq5RkKU9aLBYvboBmRjuFzuFjMEza2U4qV78XB/hGiTtBWsPn1Vsz4sSKhtQB3e7mwLvXX7PZ7Pniy5/gfaD1W1rXMQ0LRb+n6zzBqhVzFvqjMj1hEInaLnGlwynK/Zs7bvZbC0YWuIwDHx8+8cXr19xtOkqYOA1Hho9HSl8/42uV/axbVbWsyaoGLakW2iqkEVkpwS+7NtaneEFL/rz6dhXslFKqEZVcB5/rvMIgUSWrQ8VmG03nyNmSnNSJ0SYTZLUUnBBtlqHxX7/j/v/9Jg58I+QFzh/hw6+V7iAcDo4ihePZtkPjZG/66/0N7+5/j1c3PyGQmPQ3LO4JaQa69oaNf0VKC2P6yLzMDJPyNMKuMW/lxju29452Uzj3yvAshCB0ouw3MKjhZa8Oe37y+hWHzvZGczL3Mi0mM27bwqZVokRGEvNkA5pUXpRXTes43FsH6neFReHcOy7DgvM9LA1pSozDyJgn5rIQxCToqoVFJrpdQWrx/yjCwxbuvce3HW6zgzQxnj3ZOaIqG7Xhx4gyYGq2UgUIWWHBREJLneBXRi9JMh/8xDedddoPwRz0ihgUchTY+IJEZc6FqAnxSq7891mVyQmlyag3vFMQ2iJ0K+dNga2jbZXEwJAGxgU+JuXXBU6ifB/haQunVjl7M7SqhAVixWMtwNmez2crzks9lxSTt5tGRa986VyFGKZie5nDNQFu9i1N55iCWgKQwnNxZBpSapkmSw9SteADFnME7AWevPAQjUXyTy+F54NDbkAv1Zyzds8W2GvnRRotXMCt/OkAfqP2WsC2LsXgnzxVeprUQaMqEnuye8IFS3zKTKiHeTJNxJIUzULO1e2yA2kyCwWz6fYQqxS7JCSa2T+zDS/bLfjWhGjtprp6O1hUiElpgs1XDoc9Xbvl9uae2/0NJRemuGHpEiUHUso0W8AbNXNZhP6hkI4gs6u7ipXHLOAc7756Swge7817/Pn4DEV59/orOt+wyMj5JExPR3uPPi+vFcP+7Bt7TGXMqGCiM8W+p56Ta73/8yo1L8+pCiVrpfQZC6jUncKaDLQ+vlQKainFhtEOC5+Weh6s/H0PqTizzxXzZffuL66ZP47CLeCqfLwswuXJQn5jK8QG+hFOyXyd77a3fHHzM267VzgXyMxM+UJyRzZNy3b7cw7xJ4zLkflUGKaJYSxMo3XwbmOp5LsbYXcAF4V+ApwnqAMJjMtI3DTcbzc0LpDTwsPTiYenE59OSvBCCJlUpNpnGtQQPVfMe9fBF++Ey77AF9C2vkriQXPhdJrwTaZRj44tOm6Z0sR5mRAtbNuFzUZodxCDbWclCc9a+HAT+HoD+yjQNuSuYwkRnZ1R1cSSSiaUUSCJuZVlDNIYnXBE+UDhZ2RasQ79LIlv48I3O+G7pjBVS06p3LAZ5SiJ4pWhyWxCJmIeGjmba+IsStoLqavhzCqWuA01QbzQ7AIxKplESYlU4IMTXIBehY8dPLdw2RhrA7XtdPCVy6xmvzsn84Yo2XIGr3CJ6pXqtV6PuVh356RS7urP1yFgjIrKTC8NR9+yq6wREY8Q0LBhYSChtMU4vSOOZ+BBhPcKv9TAr4bEeYDdPnDpZtK8si+qvN1XL4skpIsxlFwnFUSHsKtMs8HsP7XCJFq7x7KATNhWOh4JbaIUz8J43WksVcK/Ola5ILggqBTzJwGKE4rLoInii0VpOYOPXE1pcp3S7jHq7QySLWjEZyGIJzmhaczD3ftg1rDzQiqFaVn47rv3+FhotlawchGGo9B/AD1TVYeOks0npShs9x2v397hgykll5R4eHjkzd1rbnfviOIYy8xyOZN7/a1CW3GiH/Dy1u6b67yDWnzX4m07T/u9v0T3Us+vyghx7qVOr8X7CtnZnVrWZm5lL62+3oq6Omug4MVZU+LsQP8SdPnHU7hL9bt1QXEb6PbKbm+T72lWTkcbem1CRxRPzhP9snBevqMvf8LNbeRm93t88fo/hCws5z+hSMd5cJx6UzAlhUvK5KDcusJNNPhi0xXauCfEe0690jjrRUmJx+cn2mbh3J85j7advNl6hjFzOtsJgCodsPWCdya0iUU5eNjdwH7TsGl2pCSch4F5GXFFKYv5iWtqcKmlYUfJM0kXNl6RVomdu5okLeJIRXn/i8iHkvHPMyoe2pYcAvM0o3gKhUnhgjJqzbJEiGJS9FkKR4Q/LgtvRGgqYvlREr9uE78JRhHK1Ts5ZVhqx0qZGRE2Qdl5ZRstNKFYOhizg9wqqRNmQFwhz5iMO9qWtdtDdJlJJ8aUmRw8HqxzmQp8dBZ8sEQsMk1txxJ8LSJqu5omWVJNKoXZkryuwotqKGHUK6D4upV2ACv10bpLHGSdGdPA2QeepeXgGoIr6DIyp4nkzamvX4SIDacm4OiFTyjfF+E7Eh9nePpYaL6G9hbmkxk+IeXKFS5FrwG1uTffchoq9m0+OgnIPVenPl1FP4uxU8aYDcYwn1YWma0g1wQVw8YVlZesxZyVJUFISki2DRFn57T1LI7YYsHYB0G2SrtxNaJL0STopEYJFSB4YmzIkunnAS5Hhmnk+fTMn/76Vzw8fs/rrx1EWzDSAk+PheVJkApP6sq9rkPZV1+8YrPtat6jcJ56jpcTf/Ov/B77dg/ekaaJ8+N4Dee9FpH1tnbQWr/5/Ef1M6AKkKQad10ZJL+z4+ZlDVh3gK7a2q7PVR9SKr/bmChKSmL8b3VktR2PYE+ympW5bPdHqid4/jegcDsvtIfAeEy44AhNJkboGugiTAfhuIM+JygDJT8xzmeO85HL8sBm59mGv8Ld9veI8priekRaTuNAnxdKdEiE4gpTMhex7clk6aKFr75s2HUb0ryhc3tiUfr5TM5HzueZwQVK3rHvMqUbOQ+Z4wBPR/C9WYXetCA7IVCqwMGxaZR263l9+1O28R3nU8+mfeRy+WDGRTrBNLJoQ3QdgRnvIsMys6gVsajKtg6S5qB0XctlCXwalL0k9Lgg3qOxZQJySVyc8CyOI8qgll/o8eaEV2GPEeFbUf6ZLmaUJIUPMfFNC7/ycMrmjpaoqdkLVjBVmSikKJRWSTVt3WFeH0mNordE808Rp6StYa5TpzReGG+VTcgkElmVpYF+h231MT+SBYVolDfU+MYxCk1bfTyqwrFQ2RfzS10W5UX+ribW8HV2teaOFv9yAWqBfprx/oJDeF+EVoTSC+3xyDYNjDITgqUHxWKNxixwdsKjF34jmT9NhY+L5zgL2x10G0ffFFaHTlc7sLXjEqnY7mQD0tAKoTFdgHRWT8qEebVg87OiAskyP/2U0dY85amRaxm9DjSpMEDJxhLJyTy+p6QwF1IR6/aK2R+EtiV4pWsXyrbA1oRlOdXB8QhlxAQ1IsSuY39zi3eeKU9cTjPP5yfef/8bvv/jb4g+sz0EgssUFS69Y/iQKZdVAmXwqFZGh2tcHUp6swguyuPzkeAbXt2+YdN0qHOcx5nT03F9U18K9HqT3/r62///2V2rHkVXfHp9pt9+/AqDrIOTmnavTq/4uiI1b0Gu64XUOVJJsIyFJpiyWFTJkyONnmWEzq+BzaCyJmX97tuPonCLE978ZMtxczbXNS+W+aggaraH3kGhMEzPzE3PpsvEmNkGiH5L4AZdIn3fo1w4DZ+4zA/ETaHtHI3PZu5SAkuCY7/gG3izk5pjeWSeAjG+42a/xw07LmPHspxpWnC+x/meJU8sKkwFngYlqRC9eVbERulQnFpifdd5dru33O6+xsmO/uJwLrHpTrTNhegeGM8z43yLKx2osGhmXOCyCF6VEITDxuM0mAhEI0uz4eE2c3g4s11O5MWb4KKy1Y8KTgJHfaHTBQxnS2onq68d+S/JnJjZeOG5K/yxhz8R5ZysG0liHfeqSHMAQRgDEGFpDKttoxC8FYZSt6DOK66xrnmOSsjQBGW4LezcQM4jaMa1kLwwRrXjC4IsFdddpcUOfDRs0VWsUiqJwIsNrw3efFGpyVq9V6YJ1Vp0xYtdfT+ysGQlpYFxXHjyJy76zFd95HZIbMm0LuFiIogFEqgz2OmE8uCFX1P4LgnnkklZuTwIN1852r3jMpQf1BIz1zfXPJyYQxyQnQ0RXbRDJsvVL0PKyw5BVmfBXPFhhxmJhxr2UaEZSk11wbpAVamp5lYwvRQiSuPAu8D+cEDbjNuPDLEnVQgnJbNcHU9KGsAlpbTCqzdv2dwc8BGyZI7Tie8+/YqPH37NMgxsXguxZqxOi/DwANMDuFGMOqiQs1i3rbDbb7m9v8E7E93MaeHT4xNv3nzBfrNjE1smLVwuI/2lr4EDXDvsKma0QePnnfNvIydST4eKOf+Agq28JLWv933eEaznY6UoX5+PVaZunup2TFa0zRUQ0iRMImRvB5kXxzKBZmETvTGOMKfH8kMZ5p+5/SgKtw/w7uuFzV54/wylUabJMY9KSMI0CP1QOF0ECQV3MxMD+NYR1cJsz+cT7933hPDAmL7nw+mfM6WB6MCbHpBUzP1suzH3rudTofGCuAS6cHre8fb2S768+Zqn00fSx19RlsQ89mhIjGPPmAqnQTj3BecdQQ3P3m1BghWCTpRdA22MNH7PsijzvHCZCv04EGPCt5m2yRRm5KyM4y3n+YHQzbRqXN3DVrjfRW7aLbkIyESaIpO/51PM7HLh1emBcY5oHkjOMZXEkwpjKUxqUvdc/xmaZgV8FpA66Bp9IQThMSr/j4Pvk3W+K2SYy9XCAepCkBbI0bpkaSD5dfhTu8pK7yQItEqJ1o0PDUxtZsg9o2ZyNnod3oZ9BJNDh8mw8dUalKiW0s3Llna1PcXpZx1pbYyqZNy72sXUi7sUu8DrTpWiBiGkGaZBGdyCuMRzGjnR8KZ4dqq0LhOaZDxqAXU1WScpH1X4qPAohblSP5aLsgyO7qZwecZsDp2ZLwVvEnBXLVm1HgdqXXGoLoVEK9hZFZJUBojh8SHa43ylXqoDabSmNNmOZMVir77Qs5LGQtNY4dlthLg3yl/ctmzbfYUqG3ALg1voZxgGmE9w+qT4QXBS2MSWzc0tIXrLj3TKzJk+f0TcSNwou1sQXygIwwjj94X5AiEXW4jqC9fKmLl7c0PTerx3ZJTTeGFZMj/96qfst3uaEJnmCw8Pn8hzMuOtNQvSWwOoaJ3LaG3UWI38rkX36scivJh7Vb712hBQPuu8K99//RvUZCi3Lr5Gh7mmC1GvLVcx71JFVTk5plGYNdfUIm8iIEq1Byjm7y7XbcTvvP04Crd3bPeCNMLQOs6VSHk5OibJfPte+PY7EzBs70z0EvyOJm6Z5kQ/z3ya/oRfPfy6sg0GcDPbVtg3NjlPyS7Q7Ra2O0sqv0zw7SN8OHqmsbCL97y52bNMM/MykMqFLBf6+YlhPOKbYmELk3K3E7YbpWmUw85ogcusXC6WOFJqNzHNmUVHhuFCP/SkMiJkkijZCYRC9iee0ont/cKXO+E8WHF5fRO42+7Y+gPnKVHygda/Ab3hGGe+OxyRzQWZPGHJBIzyd6FwUTNomrEBWMQwZ7COO6gjU1ARBg9TEL5x8EcKz9lw1+LquK8YI4DKylC1QhkaWWc+dfjy0g07b5i2unphie3ecxCGUuhnx1yUAHRRcEHtbHQmYhLT5lPUFnatuK+osWt07Yxqq222mHYNebfyuq0zNdVa9bfIXLfBq6Oqq49TtUQcErbYsvCoC7sibLwt0Ju6kyheGGZ4GuDTYtDSqHUugCUdTafM/Y2n2xfGyTp1DyZ8iaag1MrWcNdjMXjHPE3q66ktYFCTvm82DtcUJFDNjuy1zRE0mt8HxZg3K5fZklYUksEvwUGTnH3GnSNsGhyRGA1XUhqmlBgmZTwJ44MV78aBBsHtA9ooRRLFObKbWHjENYN5ZDvY7QAKU3KMJ2F5Lrgkn3myrM6LQmgdb794hbtytxceTifevH7Hl6/esdvtDcsfnvnw4UP1QrGBtomZbJH3tfMWPHmywAuldsqBF8YgtTReOdt1ga9iHTz12PRqnmXe4vYhqTNhoHN12JzrwDMbEUCKoQTrIr02FfNSI9/Em8pazYxqKZkpS91VFf6yKemPonCDw/kO18zs72t0klOOF1gunj/9VSYtwv2NsI3gygb0K5Zpw7z0nPqPPPbPLHqpFcLigyzmHjZB8K5YXNmdEIOQ1ZFK5mmAtLTsui/p2q+Y8hPgOE2/5Dz+EQ+nM322CLWdc6CF/Ua42ynv7oXt1uGbgpPA5dySFmWeRy5ZSQhRRsr0wLgkQjgQeYPzDSn/hkWzTfLDxP0r+MXPA41kHp5hSY7bzZaN35FzpCwdLFvw94h6Jj/z4a7gXy+8zY4b3fPmooynBybNzPIymPRIDS6wf11NMMnOBAmDN4vUb1Aei+HZ3ttAT8FOygJopeIV68JjYyIP76yw+5UbKwaJ5FrVvRckQKkc7EnNViBniCJ24a0XS+W1Guuk/l2vNYqsPq56Pah7iR8rNcsvJyt+2YHP1qWL+6zLlhds+3rRygqzVOih8tMvKJMqzwi7RrndCZu2Lk7OPG0einLMyqQmHlqVcyDMF1s8dq8c47HULvjF3F9VoS5sHjvOJjgE4wZr5aujpilQLXSdsNl6nPcUn8l1Sy3OBpuE2nW7H0K/K8dY0RqWwDW0Ni/mNrLaA2YVZnWch8IwQDoJ6VLM0iFCODj8QZn9hcm1FBam8sxUPuKamWYjbHaB/dYxMzMlYX4u6FThM19nC6vgxSmbQ8fNzYFQ8Y4pz1zmkb/987/B/f6WzWbDXBLn84nnp094b3mW6xxkbSBWIyfUfK6lCCqmEVm75muXXaheLp/1t6uyiJcFcS3c1F0ln99XEx80C7LANWS4GFFBXEFC9ev2BpmVbMZzFU3BF6VPtlttirvmeP5Ftx9F4VYKWQpavRG6YpFQDyfl8Vvh8gx3e7hrlF1oaPw9OW9xvqGwoKzRTPbBzUNmGYXnQZlH2HewaYQ3O6HdWBpIoJCSYxN+xhf3/wmH7Rsul19zHv53Pi7fk5YB5wpZhONUiK3QZMMDHcqmcxx2SrdVXBvZhb/F293PaOQjv/n0R2SdmRIseaKUmeBv6MIrnHjAo/IJLRfwJvH/6Svh6y8NBxtHOGVPSR3jpWFOjssA86LkdiGGjDaFD93I5c1C2h7YXm55/XjH8K3j4+mRUjJRMyUbvzSLDRrFObw4nJpL3OLhuRG+D4VPYvzu2kC8sKr0ZduoUrmpSZlmOyZXQwxgRSkgAAAgAElEQVRQK7RmX2xDGJzRMEWss1AxHPsyVL+ZUrsk1rgxK2TmjW0LRLV2sA5ILWkENdrbtFTmhVR1c8V3NWGdUakHXl+El7qTuPofW7EuxYq+VhbHurtO2ONdC+3Ooa0ivoBTxuDoB2We6utet95qW+a8GPyyuXfErQ3lFPujq9QduHqQ2C68EMQ6YvEGvRVnSmIncHu7Z7vd4J1n1pELZ0aZwQsSFW1WCMuiv6h0CakLwcp+QKpvtPqXAR2FpIlFF/opMY0gsxCTdfG6EQhK3APtyOye6SlIKUz5iYVnQlT81nPTHIgIMBNyppwH/JXxYx0pK6zj4PDqQNOZxD2Lcpp69ts9X7/5ku1+TxMjw2Xm09MnpqknNPUNi6UuBJX+uVodqFaoiepWaO9zWecj6/ktVrzJ9fzCFrdrIRdYlbjUHZ45DVbvcvey+EiFvliPQ2zHqQGKlHr92TlfruemRb25bFuFRTOurG/U7779KAp30cRlPhFb2/pENcbApRf6HiiWzt15IXiPxsQSPhFbR9GBEHs6s8g3iakIS4ZzD0/PymGnvL133KKkYt7eJSmde83X7/4e7179bVI6gWSexmemPJhkVcW8OIoJG7zDuM0ocRTipfDaO/bhS968+o+RtGGe9oyTcukfKLlnKQPjcoa5oGXPpj0g0pAWZ51mUTYd3N/b4HKaA0+XzDhGvNtAaBnnxLE3WlooR3xMlDLTx57+dULuHO+WDr1xhLgjfDsSxpmSjFakqnUr7ijiyeJZSmKSwqURPoXMI9kMkeo5qqUyRVY4YhVKwNXLuaiSsmPJShPs4hZnF8I8178phn+7SsOL0br84xmm2fxnuqA0tfNcd0xr8b4Om1gLji0cucBSmRK5elyIVMghyw+GTloqJ9rVTg/DWeSzn+UFyvxynWptV82BUVm8QBeQ1gQS4uvTh1qAEz/EUbGuejgV9u8cuzvh3Fs3rXWBk7rgaMXdvbNtRWgskNhFKxJDBfXbNnC4ueFm/wrvGuYyUqb3zOkThWzFojEoY6UArl0jUrF1OzBEHQuFfsnEVkjFID1RmMqFaZlsu1+EkgptI0jnkK7Q3SluO6ChMHGilETGYtuocw3xG/LiUdlSlpEyjoY7YwWSav2Kmpbi/u0tLloxnzXTzxNfvf4J9zf3xLbFi3Aazrz/+D2F2XbU1gOhsUIh9SNYd1+IPfea8alwpUBJDfP9AWy2FnzHVStmP6v+6XXB5/PCztpUcPW/wQtFy/U8yZidsmSQ4ii54MTVJqhi4qpoLgQMOi7X7eCff/tRFG4Uw6ydUPIZig0euqB00TGNoEnNL1lnxH2kbQS8kEMmS2EalSVDUktM6SsrITjD906D0s+Occ4oHrKnCe9IqeXUP6PywOPl/+Spf+L9k21rozMFGs4c/p57E3RkFU5LZszCsgT+avMLGv8axXFzuOPtcuDupjBNE0+nkVkTD5cnNDi83uOwE1NrkYyNGTg9PQe+/Vj404/CvtmybRuGkumHmX7qOY5Htuq5jR3KTIkDmcLH5T25K3TdDWM3kbeF9BHc2BBSJueELsKSHSOB4D0uKT3wIWTeu8KTwlzxazufa9Vbu5O1s1DFEqqte16y4rPBJSu+2LS2gOZkj5Fq7qQZ2hoVN2bHMGc2FSZwdfu5eju/uJpKndjbBVNKISV7/mU23rKxL+pxC1zzAKkLj9oFl7ItTASuPO41d1JL3ToDn3c7K7RBecGmvTi0DqZdk43NUb0ugnM1zg7IjqUvkBzbO8/pQ4ZULWhXmu4VT13fW3A4gwKCw4dAyYslgYeGtjuw2b4lhkCTE70knvpPQB0GR4Ok1oVnxWRja26XXgTUPFHy7BlSImShywuhnBExfr24TBShTCZJjVGIrRJvHG6f8VuFMLLIdFUlGstCWKSw4IhuSyowTrPZLNftyOoNsy62zbbhcLvD+wiYwMaFyJf379huNoTgWFLm6fhIf/pEEL12zkpd+Oqsw1LcaxeNXKErVSv0zq2P1ReIpO6UNNdqXVfuzzac5mMCUBzqtZLvubJQnFqdWbMyy3UexPphYJIP+6MeO/lWrH4p9juuKL7oby0Nf/b2IyncnuncUlob+jTRTrCsVhBCtOHXsChasnljqBCqr8M0Qn8Rzhe9rsI5mzgjevBBmJfC8ajsWlOMSYqMemEaf4l7+CUa/5Ci75mT5/HBAlS3W8ei5qHbVe/tlJU5CUuCNgh3oSWlDc+nnsYXnBx598aGVE/HiWGe0FEZFsVNj3j3iADjWFhmR/SZzUY4npV+Ef74WxiXLbfbLcE1tWCdWfKZUia8tEQxbkhwaqKWsHDOD+R2JvuCxpnUzKST4JZAmSANwGKr/0Qih4VnzTxq4bkYRlvqIgdGu1uZdAYPmw6x1ItgTZGxQaxRzIpqLcLVOU7Xc1au5jvLrMSoVbhkf2+e9So+CcgLz1lNsr7bdry9ewUoD889RynoOAPL1TciZ2oiixV9k7nL9XlyrqwTMTitYJ02Fbv3tRjk/CKQcVVevxoSWQtnhvzOO4tXa8E1BYfQblqii0gpzGNi7BN5hvkibG89TZfJFysKpW7NVw6wKBYaq0rJtgdXbLZCu6peFRc7tts72hhZUuK5nCl9xOx8jT7qgmH8FEGdo9lmfvZT+Mm7DTe7A+K2fPjQ88e/+kB/hn6GOE5IGg1eKyYEcShT9dv2AUKnxB24jSIRslgI8HV5dYY7+9Di4wEnW/I0Ms32nMi6NpkgDBHUKYe7Pd12Y7mSzpGmwt3ulvvDHV3b4r2nH0fKMvD2bkt6u+PD+5557azr4gv2mqVwzXVU4cV+Vl4G0aWeL+vnv/qLXLl89eQva/0Uu6ZxtkC7AK68YOYrQ6bU+cE1TLk2Aap1cF144e9XNS1qNFVXVzL3Gc7+u24/isJdivL8NNLtg7mmrVhj8kQH2i64KOTKLNBsQgDJwnIRLsfCVLPqpCjBObq2mvVgHR4ens+2/bjfwiZksn7Lt5fvWWTh1X2hDfB0LpwvXH+/iS2bTYcXzziPPPcXMoXgHBsvBHGUnDj179ltM8gjbXNhHD4xpmfmUhgn69bHWWl9xCGcp5l+LjTBVIlBHE8Xz7Ls2bUtrXfWWZQB6OnCyLY1m9qSerwziX2iCiyckBzkJpN3mXybyR7mfmERGJJjSQ6vHvGZ5DN9zvQLzJXvK0VRtyaywA92a/rDr+u3vi6MV5x7hQmwYnrdBqoV0bwW7OolkpaXTlg6G0qK2K4mq9LGDb//N/4O/8G//e+waTY8nhKPF+U3nz7xB3/4z/nDP/6/WZaFtDhEi12cFe+mUsJKhX7W7Szr91ADhu0CNLrKC0bpq9rS4Edl1aDivHHNVQiN4Dul3bbs2j2hWBL62C/m8T4UhufCzZ3QbYXTWXGlwjafXeiSYQmVreIUaT0uKqMUFq+UBkpUwmbD4XBHG1qmZaGdn8nqr2pAHwTxxeiBgHrlp18Jf/ffa/j6FdzsXjHnA9+9HZnzmV/+8kRaYEqFKQtRK4PGARI4bx2XAnNecI0jbIAoFDHO/qwGgwVswQ4+sN18waF5i0sRlR7vH6/p6Sv3Oq+dsRNu7m8JISDOXQVRbw+v2XdbvAt470lpIajy9v4OV2b68VuGx/G6c1GVa4LNCqk5MW/xddEw6G/lWRttUBX7gFWv54V13Z91vFeIpF4TUhd4xw8onXai2YDeEu/16otSMAMxVkgmf7ZzrZi3HZtec0j/otuPonArynk6cZxhf1C2G2HulfOjGTf5qhyUUDmri0mJywJptpM/BCV6RxNaYohkHZl9okghRMMPVeH5rLgibG4LMVr8lxZlSrZdOS2ZHCAEz2FzYNt+yba9p+SBD+dfcZkHulC43QhvDsLt7o7oPSpnkk6UdOR4+oYPj99xOhVy2uLTTCgL0yA8Vk+ChANJpCIkFTb+hsa95tA0IBdynhmmTMofQSbevjbb2JQz5ykRvcM7ITnHeYEpQ9IRzZkike1+hzSFoTvjtokhFE5zIY/JjOg7JXSOOCmlVwtBXbfxSp1OrqMa66iq/sDIBxhGGAP4UIxrXZVlRQ3HtsrhzImvqh+lbkM/78DzZN0LGZpGCIEaM9Xysy/+Fn/v9/9T/v2/9lO27Y6Ut6Ql8vh44Z/85K/zj+Uf878+/QF9nq5bb1ktN13txIq+BCcUO39q83w95rxur6WeaxUHNTWb7fxYkWPnEe/wBULjaDvlsDuw8zsTp2gh+Ib+PLFMiflSWCZhs3FcXLqmmK8LG2oD0KyKT8a91gDeF1ILyWGDxcazOdxwf3dPEzuGaWTb31CQ2mHW6lS9vgvG7vm3fhb5+r7w+n5Hs9kQxshhyWz2Htfa6/SNAyk04jg4ZeMC4na0h4j4wtP52YZvLpOLMaaGubBks5v1zrpJLxsO8RWH9gbXRMRHYtyS0npO/fDaD63n5m5vbBKnJM1E33DYHixkIDrECWkeCQKH7Q391BO3DTyPNrvQF5hD1l2eWjD0VYhTd3eWGKbXgezabfPb/z5vWrK+HPcVSLc1PucKza0v7TP2jop9ruKMocXKDy96ff5rgdYK49VrS9c7f8ftR1G4xSmbvTP4YBKm4pl7YR4SLjTGwXVaE5MLuWRKasnZUXTBhQXnHZ3b88XdL/C0XOYPPF2+R8KE84XgzScgI7SxYddFVEaCT+ZPXQRHIbTC5kaIeG7a17zZ/xwnkcv4rUmeo3AThLd7uN0F9t0W6PEhMM49z88f+PDxI6dTwucd23hDq0c2IfEwFC6uWAoIGeeFuZjxVGmUloSmjIszqVyYihCbmRAL79549lvlclbKozBT6BpL0RhHOPYTFMNfN3Lgi9uvKdPAsBOex0emoPgBjgNsguPmbeHujQ1LWCKnB+Xp42IBDrXz0Lx2SPoZpCB4rxXDU5oNdBvbnqKKbx3iI04987SQlnQ1WlohF8OWzV0tLTCPissQZF0cGm639/z8y7/O3/13/w5/490bbrYt0u1wvKFjz277DMsD5w9/len4a/7Jv3jPZbCL17nPI7ksIg6xxcBh+PYariCVFF68OSHmoNQAcJN6Z8DXLg5r08Wt4h4zFdt2kZvdjo3b4jOUstC5mSEqPmaWBPPFlJ+Gw1bhRuHKZ16j16Bir73iu4rHtsbRLm3L/uaem8MtTdxY9mrTVXYI1Vsd42E7xSVz9ds0jsLMJY988/gvKfOe40lJzIQqaY/bSNcEuuAJeWbrWhwNxMgQHadmgHZmSYVcYFTH8ZQpYF7bVcrdEmnDll2zxxHJKkTXGFyR6uewMjsENvuWzbapnSuklGnbLV1s8MHjo6cfLyzLSGgiGgOXlBlTNmqqYglCteDqilvoWlvq17qSaSp1qALU823FxT/Dcv7srVbmdRRxLeQF9DM2Sv1jL1/ra7WqXLne1AYGZzOl9fqqx3QF3n/shRuB2FXe7iwsU8uyKL71bHctWUeKGGg9ziNFCo7CMCcSySxZHby9e8v97h1FM+IS8zwg7kRsZzOExxP8ni9uvmAfleP0LZfxTJ+BYEO1pnFsmsJWG97u3nLf7TlNR87LI8/zmVzMZ6AJRt0alk/4JdPOE/Pc85v3n/j+44xk4aYplJhwITKnwId+YZMWNsE8C7YNjLnarC4DhxDwZGIotA0gE65R2kbY7eH1KwsEOE8Qip2U81xIKgyTqQQ3TaH1jsPmYOyR+QGvSrOF0BoO6ZrM3RvPF+8cm2ZPWTzfciJNnv6cWNNgVrxbwXDXgvFSxTDers3c3QS6nbfsydxwf/8Fm/atqdqWZ5b5zNPTE4+PvSW8qJKSIy0ZJ9bpL6MYrCVwf/OK3/+9/4i//Vd/n1+8uuHtPtNNj8wfPiHxgPhnnBwgX3jl3/M3Xz/y4ecTnz7C+5OniGMYMilZ31KyrRhNI7TRIIpcmQMEY59smoa7/Q2N2xD8gTmNvH//HU+PA2O1rEU/b8TWkFmbfzQxmg2pFjYx4LQhzwNhn0mN42muEbgdSLTkE18rV6kXrGBmXYglp5RRCYOJcMCOO3QN++6WrtvRtY3h7dGTF8dcnyfnmihTa9Ayw3efCm+/7Lj08M35gfPpgfHieb6Y2YvzQtd1hLZDxeNkhmwWsy4li9lLM1IKMSnFCedeefgWmo0jNErT2mtSZynyzgW8RJx4xPlrMVqLm6i9pv3tHh/teBOFpWRu2rYqEx3jPPPw9MAw9Iyl8M3xiW8+fKQ/DlzzDtcO9orxvdQVXcfsdQC5wmMu2OIpTnDFin8q+Yel8nN4cG3Q1////Ou1467DfbFirs5qhTjD1aGKj8rq512sgNcC//mC8W/EcHJdxUoRzHUiIE5oOqVQWHJiypl0yjSd0jSC08UYI5hJf9wERBLOJYpmLuPJJtbScNvd0ew2LLnQxI677QGfR/qh4fHRrEOLUzYKTSjsPLxr73jV3cByZhh/w+P5e8YpER20zpEX5dIvzPkjEo/sSmReMuMwmsS+DfjGsUjmnCb6nOiLJWGpb8hBCLowFRiSMk+JU3nk9qDc3G7Ytjtgi/MDTXvGN0qzVTaLsDnDMohhw8WRZhskRa+00bGJgeCURRNDmkhBGEWZ/xV1bxKj25bld/3W3vt0XxcR98btXr7Mypf5sitXOe2yqSoDtsu4AEtIICFAzBhY8gSJqc2IkSUjJGZMPPMEQQkJYSEhJCNZCFEYy4aqorqsysqX+ZrbRvN1p9ndYrDPF3Hfq8qXaZi8OtK9ceN8Tdz4zjnrrP1f/4YCc4iFuhG6haOrHaHPdJ3D2DKULYPFAps4B3UrEGE6ZiQLLgumVh5cWh4/dri2IqUVi/pLPL54j8Z1SJpo7TlpuubqrOF3wwteXPVMM0wRQ+nSJBV8t8rCO5fP+Pf+zX+bX/m5v8jjrkX9DWP/CftPvsdO99TtQ6x5htUF5AMxvWZjBp6t4Ts/0/ELZ+/RdBs++PAFv/X7H3K9TyQ1NI3w6LKirSKTLwo1tWXQdLG44Lvv/Rm+8vAZjzYP6WzDy+vn/MYPfpd/+nu/z83eM2buOMdltVsyUAtnXQo3P2dEI7UTahKae1ZtRmrH2meOjSEuHS+akXCYmRXz6kBnhkI+kecFclB0AJaFqVDmNhVuzluzxmJtTcplxTVGZh8SfasjLHTN52+Eb8kTnHFYt+PF7jWH20jYQUKw1lA1Ha5akClp9EPo5xuLI/g4U+EMmizJK/3rTHgN7tFsRhYAJwQiPo345HHCHHo7q5/mlU6pVYJUsD5fYawp/P6c0KxU1pFzKv+P3cSbq9eEqeej25d874/+gJuXt+SpDDiTgZO736lAn7rvQrmbI9rqwnPHlGNvKkPT1FR1hcmG6RgYDwF/DKjPn4ZNPrt9qmi/tftUtLWsyjTLXTBPno+HwL22QCihI/PS4S6xx8weJ/x4h8AvROE+dQZ+Ku5rSsS6FmvAhwM+JbITQlamAFUsNqq1NaTZFjK4xC6+xgbLNMEh7LA5sFqe8WjzJVy7Ztu/xFUj1h1QAqOP5AGkAT8owQvrTnjadLyzOMeFAc+Bg3/FYejJUVm2QksN0XHMI6TI8twjLqEEnIOzlWCdYshM3jOGgDPKWeOw2uGSRVPEoNQS0OKsTlYlZMMYEm0NjT1H05oYHEKPM5H1UnjwwHD8JNOHhpgE5yY2m0xlLLVx1LaCnIgpsu0n9iYzJqFaCN0Z2K54a08por5nGuE4KttdLDJ2pfgoSCr2ug8UZ5XdG+hvCkzQtJnLJxXnDyNtZ3B2wYPVU9bthrpaYVRZuD1+OGKN4fWDjh+96BkGIBWby8YZuko4P2/4+pfe4d/6N36Vv/yLv8y63SC957C9ZvfyNznsfgcImOYpxnnitCD7gJo9qoaN3fDLX1/zpS99G2tqvrdQ3HjNP/m9HUcrvPOlS548bCHuuN3vER+xTri8eMovf+uX+e6zr/CodWyWFSZPvKob8t5ys4H/ZxCyCsHku247zZliMUEMZYUjGqk00ajSakQk4OrS7TkLXdcSNh2LVWTahjvAXYzMzAfuuvrTxZ+8YGLB/61AioEQB0IYCA5CzIQQSaEk3ZwGdYbigyK2zBqWZw1119K1DVUYGLJhPylVpPxQa6iaBcZ2qGRCOCJ+mFPMOypbc7G8QE0g68Tkjww3I84baqezdLvY64qODHbHlPZEbQmpNFInAPpOSCVQLSqWmw7nLCoQYsRIGd6nHDkMB26HPc9vX+Knnu998D1uXtyQ+oQYg5t9Sk4mVaL30INYME3GLgSzzJgacEKS0svWTmmdUIsrPjDzjCOOscwM3hIQfC5ocSrin8Hui73wW1j6SeSkb73wZJyip+FMWclWdYWIMDD82Jr5hSncw1EZPViTCDpQC1hniTEx5eKcZjJMI1QC1QJslWmNEKfikDbqkavhh3i/pB/hQe1Y1N1sZB8RG5nSC3wGSZE6TyySZQrFu2SH0rli7OQ0MuYd2/CS/XhdDPczkC3W1TTNhoo9IzsyyjiVsAZRcHVF09QYanJWnCl8pbUTRB05l2y5ZVOBSUw540PJVtz3SltHrFqCEdpmA1WL1ZGcdzRdZuXhfN0SphapHW1V0zQLLJbhuKOOjuwTMU34FFFbOLjdeaJZFIglpsx2LziJ7F4b3nySMEY5f1xx8XiDZuGwPZBMz/rCgMtkJ0yTkidolsLmobJcJ1arkbbZ83AFq25JYy/Q5ItNrV0h25cEGQgJfCjLxs4seNg9Y31+wbe/8pRf/Zff589++2fo6oy/fc3193+X7ZvfYBj+gDC+RIMhm0SySkxnhANIjpj2gNHEk0XiYe1xlbLtPO+fB148Fm7sA9559ozWJobjhKYdrTM8vnzCX/tzf51f+pn3uXATEiY0vqQi8JAPedd+n28tEx852PnZiW/uGk/DsJSVKWoJXE4T1lhcjjQEXD13UgnUglvWjIsVXbdjbwM5zTJs0btr3rx18asUPNSO5SYnObOf9rzuX/Jw/5gYRnqvjH6AlIp8fRaHGVNWRNkXter5pcG4iFrH9XjgMCRiVNysWrHOYU1dPLCNIZnCVZaqFOUH7WNy9wgfBoZ44Hr3kjz5Em9m51Si2Z0p58iUdgxxh4mewUOIfv795hI4wxbL9YK2rTHGIEBMgQoDMeCj5+aw5cM3H/Gjlz/ksL3l1UcvyEMBP9yiRL/pVPQDqQfS7MJYQ7UR6nPFLIunjnWKOlNYJkGpcjlukiM5m5LQo6nMHD7TbSvMNCU+/dhnivX9k9/+doaG8mceOn0UchKelVVVVVV/4vt8dvtCFG4BREvitKKzanGcTVfKEsLNKR45Zpqq0GimqXx6XQebM9gsDMFnxtATqbF1jY979uNITkJ2N1TVFpOF7IXW1KycwdiJVCUwwsYINmf6MCBiGGJDVV2yzImurkl5ZIqeLgcqGxGF7VZRD3mw5Njw8PwhZ2cVKR4J0xbUl6VviiA9xhi6pmazWFI7wevA4ZBwWoygNCrHfcB0Qm0NTipSUsbRYk2NlYqzxSVpfUZVP6CrN1SuYr+74vVoikdHGolpKrmPRlgspPiHBO6SYMLoGHrD9hWMQ+Ts0vDuly84f3DB2E9cN5HX2xGMULVCHaFewJiUxcaxWEHTKsuloWuErlVclYhhT44erwf2/si133G1T4QERiskw5P1l3m2/hZff/qQX/2lh3znazW13HD88BN+8M9/j+3VD6mXW1K8Ig6BeFBy/4pkDsRmybCrIBsWDwJ1e405vOHw8RXGWMzhyNN24DtP1ryyjzHO4ZPndr+jEuXJg2f8yl/41/mr3/2XeLZy+O1zfvQH/4zD9f/NmRup8sA7dWJ7IfzhC/jkqCXZXhQxxfElo8ScSapMPpLdSFUb6pQw2Rf716pw450ILByhEpoa6gqm2bVPKLa0ab4hnKxBjQJBoYc8CnRKHwc+uf2AjTtj5Vb4mOmPt2gssWOS9C5wOzUFt21qZbkOqNyy95bn2yP9odx8x1BwdXE1OmMYiYJdBZdJncHQcHn2LmoumYae3bTnk3xA/RZjE7O7bwl0mGlxIe05xjfgFwyDYRz7mZtUcG1m+GJ9tsTWdg4fUXwMGLHkEJimkWGa+PDNB3z48Q8Zr0fCTUKiwXRKvRDUlU5axBRf7wrcSqkuhOpMaVcF5rNVQddTzEy+QIbJZyQlJBVuZgiJ4FPxBj+12X9SYeat/W9326c/enp4/mbGrT+VZ1mmkzMGP+sFrFA1FcbZcl/IfwqUkwJsFrCAmYIFfsiESamspRFBakhkliu4WFjSmAizTnW9EFYtOFViEioxrM8vebi5wOYd2/EVcOTpuaO1BjPWaFyUpWV1LH4jHXQUg/8pZjAdXf1lLroVbRhYjQdyThz9NQf/MVPaouIJs+3lWGdqtTx9Yrh8cKBpDMNxwIovrI+hyF4tE40tdo4iFmdNsVetTFEf1iWCS+OBnJakVC6kmAL744EQL9D8BGPe4Wz9gK5dY60wjUey5sJOiAmTAz6OhQvdwmpV4KjDVomDglakqAzbyHQoGt/VQ8vmwlDVETHKIlnSLWz3ibPaYGtYPCwXzOKi+Mo0TSlEmhL9eM1xaLBckNPE4D/gze33+eRqy25fOsHKWJZYHtaXXHZn/OxXN3z1UaaKR25f3PDBb/0h21e3LM8XuPacdBgIcSQFxRwSzuyxHBEsrq15eFFRdZlw8ISb1wQpieWbGi7PLbfDyO2g7K4+4dxHfvbiGT//zV/kF//CX+LJ176CJTFONxx31+w/uUXqyKNL2CyFL50r768Nv3mTGOcTVZhNgFQhm1JoNJHiRFMZagkQyyon2VJ71YGtQSTTOKWtYfKnlBTuL/a7giBzOnxROOoo4BWplVeHD1m5irW5IEZhe3xNjhnJ0NWGtjEzPhpIOdMsoOkCKgcOAbZDJATAgz8WVatrM1OckOgwLoENBAOTFVbtGZcP3yXnFb7pSXGpBhQAACAASURBVFtLHsFERZwtmZ7ku1V/VggysgsvSENDv6/YH/Z39DgxIE6wrWF1vsBag5piddqHI7ZWxnxAY2TrD9xsX9PvjsSdkscSfFKfQbNSrCsGY31WJCnNRmgeKvUaFouixTCm3CBDoGTGjjD1FIh0TJhxIHkIRyWP+Y4S+mML1Wk7Fe1Z4v7243r6S+9L+L2U9/Re5aAbM8fZWUGsuXPflJ9gNPWFKNwGw3nTEAhgoW4a4tJxcz1wHAPWlYPUNpa2SqxXCelgu4V+Kn/aSXGtULmGh6tzzlZPeLDYkH0m+huapmZTdzTSMMzuZ70cGRuPNMV1bZGEOgkhOkQcTV3R2BYJgco6sJmE4aZPpH5iOWPjMQiuVS4eJ87OejCZfqx4c5t4fpX5+JUyTrDoLIs5wQUTGcIRazI5J+LMdOgKAwvVwDS8JumapI4QR2KvkB9heBcjj1iuLggh0B937A8vefHmR/T7A4+rB2QCQ5jAwOMHjtUicTgK/U1mPEDyqQyVjo6UFFcr1iamdICcyC4zmS31KjMegaicrZWnFxXTCA/PLRvX0kmE6Bimml24ZTcc8WkArrGMHHtle0yMvgykaoXzXHGG8KhNfPlSWNgJv91z/dFLbFxycXaGaSam+IJp8vhp9lYOBSZrYqYxmdXC8vTCYhewVTiGYjxlUDpn2bieesp89FHm0Rj4yw+/ys9v3uVr73yLp2dnSOMgZWq75OHZdzkaz3j4PnF9pFsbLlvhvRa+5uCYFaQUaitmLkIZMQlyLAKwxiKSkFysFrAQnWKcQVyp0JUUXxcjOudCzmpU5mQf7r02RAQdhdwrdl2W20d/4MXh++xo0eS42U3oFLEIm8WG1bLFWIerDvhpS72EqtYiZU+5pL8ryGzvmj1MY2LwI65bUCHEOc7MqXC5fsxm/RDRBt8ueNN7DvsJWzwAilrTyDwILNLVqHCIew7Dnv7W0R9SqV6zqlNqqDcV3bKecXQlxIExbGkrz5CVGFt2wzV+3EFQcpDCaqqUs4ct3Tpgq8wYhWPM1GthdQbLVWGHuRKFWRTXk9AflHEP/gDaAwPoCDrFgpEnUwblovPMCT5llPPZ7Q7fgpN+/4Tf38nc9f5xOUnoT17b5XTCOFMYLvMNTJzD5D/pB356+2IUbmMxUiM54WhYuQdE5zAXnvp4IMvEYm2wTQBy8W9uyiR9TDAFJUWHNS1QoSfJblKyN+BrXLZYXaK5ZggH3ozXXBGIq8xyVTIU3SSoz8QcsHZk9NdE7Rn8gXE6UjlI6ZYYApMvkEOMZXnarRrOz58gJvD65opXV5FPPoZXr0vY8cVSeHqxoHU12YDPRxKe7aCkWE4u46BqhbYRDIm6GpGYidMZx52jblsIK5pqyXK5RDWS0g37ww+5vX3JdNhT5Q6jBq+RMQbqDjYbZVVrkUB7YbgxpAnCqAz7QE6J8ydCHCM3ux0MR2wjBJNoV0LVwOYCHp0bNs0CUs2m3bCQBqZUVvRD5DgoN/0VXm8xJmFx7PvE1VbYH5U6W1aT8iTDWT/wqPFcLAIWpe+hbR4hnWHYX7O//oj9/iP8MBbcMRZmi/GKqy2tzSx8oIsZZxOxM+QhY0ehj4q1mU3l2eTAemf4a4++w1955+d4592nrJtz5OYWdEJDwN0MbOQBm+qbjIfItP8BlR0xEzwyyndq4UVUarvmq5tL1m3DNvR8qAem4cgomT5meq+c2XuqptrC9aYScJA1Yj8FnBa1X6HAlxfdsULm52gAeqXNltYUV8sh9gzxQPSGQ1+olM441t0lZ4s1VV1R1Xtub3uqJuKqDEYIuRTkMg1VNAnZKylkckwYU4zPsrHEZBipaJeXVLahsS3OQD9N7PeH+bmGpq1YNA3qEp4RlTAPGpVbnxmPGaZZVWsFXFk5LM8aqtZgrKImEulJcovXLZMemaLlMG5JcUKj3PGcu4ua88sNi2Ui2YmcBzpKoW47pamKP3fKSojC8Qj9DqYd5J2gg6BjLr7kiaJeZF4JlNywe9LI3XE4fWZ8uojPkId89uupaIsis784WdBigwkURpFYMJXOaldFCUVBadxPtHb9QhRuEEYP/ZS42NRI7qhsS21HLtYWFU/dgK0SxvUkenzI1JWhqRN+gmEUpk6oXaD3R8JNYKzXiI/EGDF9YnfIOBFuxsB1CLyZEstzYbEyLHIuy78anBlQ/SMOhx8Q8xz9lGtsc47qgcbAEAsTA4XloqHrfoZV+y3ydOSjj77P73zvQw59JiaDuMymadg0HU3tkCoxJMNxzBx6Yb9XBg84w6AZasPDdRko5piZpoHDdo3ZC2pfszlfgQEjiXF8zmH/RwzHCX80LOsLNEVSCniJ2HZesRlKyxaLN7QEwZgK0QKLpAjHeQVDm+jODbaF9kzpOuFsCWfrhjO7ZiGPqM0SxJLzxOHwislP5NRSmxVWKxJXDMFztYWbG0iTYsTQHIUzFRb9SOcmNHnGUYhaFK8TB/Y3P2S3/YBp8qR59iGTor6kjDPm4tFySOQD5EUuJNKqBK/mLCyWypPWcLsz+HXHd598lffe/xbt43NII4cffszxd7e0fWZjOpZDZHlwTMcVvS4gFWOkVQVfXytvUsP73/w2f/79L2Ft4MPrV/zWS0XGng+OGR+Vm0HZVCUkWp0t4hmbCvNBhJhyKZ6zYVqezVxODZaaci3c0cZmKEWioZMFK5txJoCJjAo+ZLLKHBAhdG7NujmnqWusbam759TVvljMaiJEQ4ozgykJKczWtjkRUsIahxPAtWRTExWMaxEtKeRRIje3N/j9SGWgdsJ6/Yj1ogMbOOo1Pm2LgZdISd1Js6e1g1laiVpYrBqsM7MYJpGlx7qRJEovA8HDbsr4IKSpYMXihAePz1itzmgaReqJEBKTDrgKaltodz4owwjHveJ3kG8h7SEPOktkZR4Ka0loomDgJ1ja3u2Zb3CzgbvOIrMTOC1G7iCPe5+Ft27MRt7y7FbEKlTFm97M16StFOOKmIhsyDGTNJDk/2fhFpEW+F+BZn7+f6eq/5mIPAD+W+CrwAfAf6CqN/Nr/lPgb1Jq3n+iqv/z5/0MVfCTpT8IJg/48Q1Vt8Q6Q4qelD3W1IipCLEiYYvPrZaJslUh+IiaEWmUPCX24xVDf01ni1FTmEBvBZXAm/3EmzGTaqGqyzTcGOZcw4KVW4oEOcVC4nWmoTEbKl1C25PGVySNRIoF7eSXbLcd0yHx8uWCq2sQY4hJMLEmBodPpZN3lQIepNywdj30Xhizcj0VG9m6M7x7dkmjFwRrkNChKRTeen9VFJiuYuhHyGssa7qq5WzxiIXNiK14alvMWeasMXSVQi28+9hQj6WAG2OKqi96qkbu3OXcSqnW4FqhWcD5BjqnrKuGlXtIpecY7UAco+6waSLbD9HkcLKgMhU+HphyQLQITghzNqUqS4F6mkh+x+22QdKS2i2IMdAf37C7+YgcAhpmcyoFiXLHRghTkXinoGgv2GioyLhZ3CAKmw42Trldw8cLpXv3Ee3PPMM+XJLGHWkXmXrQNwPdcU/lA4vtDdudZxyXhDgh7lhySc+Ff/Xykr/0S9/gy+9smMKRsw9fkqcd4z5yu4VXR6FXZTLCqjKIbXBWUBdQUZIxReSRZp+LNAt7TtcZzK55nwZSBTBq6ewZC7FUdiK5PT4N6Mmk3woFZaxZVGuaqkalYr04o62OiCSyGnzMd8q9ovpJZWVAJuQwe007nFmTGIhpJOVESCPG1BzGkZubK1Iu5jKdVmwWl6zqCuMKbWLfH8kSsK5AfqGmWM1GSjGrwNSG5aopEKgFsYqVkbYtGFOP0k9wnIRpKjcAMVB1jgcPL+ialm5h0drB/k0Rw1nwCMcejgcl7ICdoHtFR4pvwJ1pSTmXTmyOexMxePvjL8dkLt4n86rPziROAho5DV5LQbu3eOUeC3dg2pLDah3z1/tCb3Iqocwh3ouLfsz203TcE/CvqepBRCrgfxOR/wn4d4H/RVX/noj8HeDvAH9bRH4W+A+BPwO8A/wjEfmm6smv649vKWfGoIRYc3Uz0iwiSzPgopB8wPuIHg1VW3BFUyXqrkSDDb1wvFXW55boMqnREo8VMm0F1vq5qzH48cgYewafqB082MwKyCT4oFRJZlGFUhkBU2NtQwwOaxdATVcvCN7Q1XuiePZ+Yj94wusX7PuKOI58fP0huIQfBT+V4dVNq9h2pLWRCpgmoT/Cbq+MI4RUjHuMMot7lKeP/wbvLv/q5xwagUbh4jP7AFD+7GefvgKeAr/86d2fRdQ+/5T544/uwx/yG1f/BaMfSGGDKQF6aDZkn8knS8+UsUZwZJh6dq8/4fnHPebpuyw7ZTr2fPziD5n8Dpvvvb4lF8jBtWXANSbFxaIinoZM54sFrybFe4hRkCTUzrDqhEfvNVTvG/Q9g553mEPxDYmVYzRX9M/fUO1ek/sfkaYbBm8RVrgVODvQrDM//3OP+cp7He15Qm+uac3HPHF73muVP+yEV1eZKUNuQazFGUtlq8Id1kiSkloeZw/xnOYl+Z23BXMC/P3R0DvXrkIjre2SyiyJ4rA2k91IspSEd8nEFLG2xtmGRgznqwfk/JKcAymZknwj9+lGYkAqwGSSjiQ8iKNyC5BzRn/DcbrhJi9o64nrfs/RvKK6LN1rvaxZtEuWdYetDDEl4DkQMKYI5WKj0HH3eyeBtnE0TUflGuq6JpmJqkq0s+3AMSiHDGMUgp+XvMawPO9olzVd19C2hl73xFjEQWOG214Z3gi6E3RUJMwe2JYCt+X7a+MuK24+/0/19212yAm2umuy75IX7rmAp4HrPVtkpv+d/m0o98g5ik5qgaoUb9fMlgYYYszlHJhFhZI+e1V+evuJhVsLo/0wfztHmKLAvwP8yrz/HwD/GPjb8/7/RlUn4Aci8ofALwK//uN+Rkx59gsQ1FbYzuJ1YoqZHJUYlBAz0St1bXCVoUlKGpXhVhiO4LpMHy3TkDlGGEL5wKxRzhcLWtdyDIGb4xEl8eTcsK7LwckjDIMStBgn1U4Q21C3X6JrLtFjwBDIGSY/EPIw5y0qrSndUz++YL97RQjFEnW5FHo1DH3COAia8FnAQx+F42i5eh1JR9i0loeVwxrLellxfg4LPDkyMwQ+b/tpRuD/397hX2QLIXKYIsdDQLOwbAtu6ig3x1CVfElbm+KNHQbGV1verF6zrIWpe0x/c8N++xyTElEhzCIXo2Bm5zyTyvkwToLPsN8pTQ/Uxd7Xh9lt7SgkbThfRH7houPJox5Z3RRnuyohVWSxNOijjmGyHA7XHOtPyM2IhpaQWlJuyXXGrRNP31lRtRM5R7bP/4B09ZxlgIcW3q3h9xMENYVj7GoaV2FcRTEvATXzUCrPjd9cRE9Kv/vwBe4Cj8nM9rqKD4GsxVzF0OKsRezM3a6Kwnicxjkp3GCMY1VvOIwLcpjQJmNn+1prKOrBulARXV045SlFKudoqgorK1Q9B/8SDVBPt9xMb2jW1zz6Ckx7ON/ULNoSMuyc4+B3ZCnwjbVl0K4dZbDodf4clMWyY9ms2bQbmqYiSGaIlioaQs5ELUNFHwoGf3Jv3FwuaduGtqmxVWTsR5Im+iTc7pTxFeh+9n+fP19scfHjZJ7GCdk4hTTf77xLwBG9Cw1RnSGSU3c9P1lV7lSgp9eXgI7TjXi2uj150FQF38cWzYnOQRBZuA9cmEc5WfhU5/8nbT8Vxi0iFvhnwPvAf6Wq/0REnqjq83Ky6XMReTw//UvA//HWyz+a9332Pf8W8LegWCPu3vTFPKyCcQhUkpDKkE2mXhisheNkyLoge+j7vqRWe0PKicNBub0uzJLDPhOO0FqDq4Sla3FSl+zIRBErhYyNcxJzNKTsyFlQk+hjRuWCpvoKhgXG3OLDxJh3JI4kU6afIolKlXMBJmU6KgcteF5IZZlYLZTNA8NiWbyzU4Z+KMk8+y1sKni0sdQYGtewWVXUdSpLSP1JRfuLseUM4wjTqOwPHskOM3uFWHE0XcSP0C4aFps1eVLS7kAeR8LtwOsX36drtoRtT05DsXVFitvm7JOdbUnVBoVUOjj1wu2NYF6D6YR+XzDM2gJBCb2nrhLL9pbG/zb5SgnmMeMuMx0inXWsWsd06dmFiRgH1EYYIVkh2YbcVKzOG9pW0eMV/uqG7Q8/RG+UxisXCF9yljOb6acMUmOrqjjb2dKOpdmTQrlPfTkNJz9lfjF/+3aiyslJcfIBHyKNVFhp6OyCsRqZXEScIWvm0B/wcaKpio9JZVs0N3jvqGJCKLFoUYpf93LdsO5WNGuDXRSxjTWgOWAtVM7g0xGRVwzZsBtfsqh73LnBV8qDVU1btTSunalsBRfIKI0pnHXtIHqIcwG1jeHsbMNmfUZbt1TWYqR8tbl4eWQtBmQ6AaFgydXa8fDRBYtFjTXFyGvwPX2A3W0p2tzOg8H5srkbLpq7esr8qc/bDBvNx+MUfnDXgs9vUOT+MivwZo/32YryTub+9jvLKf5j7trz/FKl4Ovz/pwLPJvyfURfKlq98vzP2X6qwj3DHH9ORM6B/15Efu5znv4n3Sv+WN+vqn8f+PsAphYdtgGpDKYubl0hgDSJdiE0XTGSR2viVCG5OJFZm9GqgIaq4PelGOtQMLVGHIsafD6QTINPGUfGOmGcwB8NF+sl1qwJtsGrMk4H9uMO3yiNKk4DYzzyZnhOn65pXMWj82e0tdBnj5KoKEsbY5Sg8wGQknJ+8djw8NJgJJLnLqIcujK0Mq6YChmTsRKJMSAxME5pNqn/4m8pFUWrNUrXgJ8iYxTqqqJpF5ydJSqbOF+tWJyfw3EgxGLYpV45Xl3Ts0VGUI1kW453oiwdjZ2DAVLGpplaJeXx/VbJrwypLZhx28GmK0yY2z5wuwM3HXHTbzNd/4gYlxwnxdoV1cOvsNo8oVm9Ia3ecLxIJbxhCBhNhGqEWqjWDSlcE64P3Lx5Qb89En3B2StRNrVy2Qo/mk7iDUVMwglkiQiB0hPrfWfN3O3dz8TuL5y3aA2KlNSf5BmnkZV2WFPRmIauseyrSK7KS477I/vxQFt3d9SzMTh2vVAvyjyoMnAEqqrhy5fvsmw6TKukZpzTxidMEgylbQ3pOEMoMIRdEcPZkq/YNrYEQZeo+Tv8VxHM7BefqxmWUahqQ7vouLy4pK1bjLFUrkLVlOGyUSSX5iZ5SH35fNzC8bX33+OdR+/QNBkI9KFnO45sr6F/rugOTmYfJwOrO6O902V0qqtvd8Knj1zv/9x/9vcHZN4F5kTrg7vBpLz1Jqdr4m7AXLp/xtl7HQrfPfJWqAdz0LWSvEKcE5Q+Z/sXYpWo6q2I/GPgbwAvReTZ3G0/A17NT/sI+PJbL3sX+OTz3lekLIVSSmQvOEo0VNZMtBlaU0IDtCgmcy5DlnKBKN0aug7OOrBawgByK1yu1nRNwOcD/egZJmhEsclCVqpuzVKe4aoLouvow4QPr4ih52a8IobvYaXmav8ab3qszSybNevqKY3LkEfC+IIQMvRCGEpIrVfwFEn+o8eGs40Sg+HmNuPHMlm2FtrO4HPm9SFwMEIjnq6BxkOqlPHJn47CjRRGh3UFxwQhZcHVCxp3QSWZZRdp6xZ7viC6jLuCFIrPjPVCShGZuAvOxciM992N+csS+DRcswJVWdlsb5WpKUq5VQ3rlaFuMscBPn4J/spQxUQablG/pQ+ZdtmQVhP4V9i8pbE3dB1MD8AEqFH6HEiVYtvAFD6AWHGzPdIHGHPJL+3n5W1tCyTkbMKZWBg7kiiJlYk8F4vPKqfvq8MsvDh128psF1oGtClHUg7kHBG1VNKwcA1dHThW5TM6jj3b/obNYgVacg+Dr0hhw0IVVxnOmlv26rlcP+Td82clMWgh+KrnaHfspysCruw3kQo7txkWP9Xs9xN1BJcFiyWEQHC+pE7NMTSnVYOzQrR6549eNxWPLh+yWa6LRbOrMJUjTRFjDJVUZO9LNN0AaVSq2vGNb3yNb37tGyybCmMT+3jkat/z5mpieJHRHfPwWu8GgZ8yCbwr2G/BIfenLvk0dDwVVoT7Ss1bfiNvLZR4GxP/9I3g9LPvVlfIbKJ3d2eDSKF6zlF9kkqzKZ45du3zt5+GVfIICHPR7oBfBf5z4B8C/xHw9+av/8P8kn8I/Nci8l9ShpPfAP7Pz/0ZFuiKd4KxswdJS6HOJPCHon5KKaFhIAclEagWtrAhREvcmSmrpLpWFq5hYSskKT4YppioESyuBLI6h0kVKVW4qgGpUS0hpE1tmIaB59cfFWGUK0ENi7phU5/RcIZJial39INht80wQo0laMI6w9IJi3Xm8WPBkrmNpcsPmWKylEtX4ifh1ivbpJw1hjHkIg6oYRh/8gH8ImxGoGnK8K3NShbFSM1Zt8HlBR6PkRJBl6rEVCeMpEKzTKCxdK8aSgFSB0bKIPLOO3m+GrKB3EgJwLBCBKZUzLmshVxnTJ1paoMBPriBT4Lw7KllU2tZgx5hzBPH5XMW+QVVSqQYWZ6DuyiOc2NU9pOw84DJjH6gTwM3AZ5nuI7CEJR+gA+PcDVCNgZbCdalOxUchDvbhpNI49SZ8lZBKf84mSTNy+w5bkUVcsqk5PFpopEVRmsq09DUE8ZNiAPvR2731zxcn8/DwkjKDmueUImlrSwrN9Fq4snZY5b1EiOJqhbGSjjqluvhJcQSLHzedTxqL7CpYcoN+z28+GTPpoZlBb33tH4AY0lk+ul453o433tLjF0xNGS9XnD54IJV11HbirpuUSI5B5q6ZQoNw8nfpAeD5b33vsq3v/E+l5sLrFViDFz7Ay/ebNm9SORj+QRPDotwCkZ4a0iYeau7LneV03Eo5lTlOXdDyBOs8lYB/hTb51PLI+6Ltr71BKXY6yqAuYs2YyqRZWK5Z6HM449T7NqJH/p5bdtP03E/A/7BjHMb4NdU9X8UkV8Hfk1E/ibwI+Dfn3/J3xaRXwN+h5Ks9R9/HqNk/r1RChXPuEzdCc2iJGLHsQxCSsBnJPvMeCwpIznprAwDE5QhC9YKtRGWrmIaI17hti+ZgCtxmBmqiB6OYcToLa4VpFoT8sg0HdDk0QwhlLDiZWdBIpIyKXp2xxvGYeTmsKefDG9uShjrslWME1pn2WwsF+fC4805mmr6fkfOW/opE0dlGpRpADLUDjbrinVjMDGyHxJ9X5Ll/zRsIiWTU9TiNFFbS23XNK4hx0gmEqZb2uYBUSO9DqgJLN7C9+64cVqWllmK5uJE1VKFbCE3M8kgl+LtU+l6bZ2hFkIFWgvOZEIS3gyG1wGmxtKdGRrbEfKB/ZXn9ceeaQXLtgg31peGs66IVfoRVkGwW6WPsD0Uts/rQfj90fB7B0sfM+Nt5tUL+MEWHp2BWVSIs6gVso0zO0AQqbHuiFqL2jx7Ncs9ln03OSsXu+rJ41nvMhRjSkx+ZJEXGARnHE1li591raQhc9hvufWvafOSwadCsRwbImcoCZ8sTjrW7YbGVVhrMRVEF/E+cNSIRsVF4aJZIdQYs0Ci43DMHA6KNhA7wQwDdjzgNTNlzy7MvilOcTIPQG05gPVS2DxYcP7gjG65pKpamrbBh0BjGypZcxWuGIISRyF5ePfZU77z/td5sNlwvlmBwLbfcft6y9WbI0zFyjafivbJEOQEP52K6ww7iJ78wOeinmdv7Ld9sOfhrr61HLqzJpgP06mgvl2/724bZg6u5r5pvxtaalkxnjruExvlZL51l6QjFKLG55Tun4ZV8pvAn/8T9l8Bf/3HvObvAn/3J733/QsopEMt8vc8KtnlwoMNhQdsrEEMrBZrLhYdt9s9w3gkG8Fmi6kyWZS6cZyfLWlswzgpr7cDkzfYnIkkTCwnU0Sp68zt4QWu3bM8ezjjV0rEEjUSI5jKsqgaEFtwqdBze/gBN1dbjBNINXEMNK3QdEWosFwuubzouDxfcbF8xvGYacwntG6AODEOMA2l8IiBtrZ8+fKcRg2HfmR7ODD5RPwJXM4vylaZil/4yrf56sOG3/mjP+LjvSXmlhx7egn08cAUJ9q8ZtIRzYEjibYWVkA1m/ZrOkGH89AH7nCDbMBUBTNNOqveFAZfeO+LBqgKFi5OwAhThqsedmS81DTLB6zaB4zpinF6Tb/1TLfCsIQHl/DgzOI2c6DrIGX1YIWPr+F2X5KKXo+Gj6Pho1jzZsy8uprYvy7sl0etQRuL1oZk5a2ldYH43JzNaW1ZbanOq01mWGSGRnQWfZzsXkvSfBHR+DGQYixxcVLTuYa2GThUkEUZpiM3x9cs257JQx969qOwnRoMiTFHmqalsVUZCNYOrJDlwDHsiTOGaxWMMagICQgpEOKIq0oXbZwlpMi+P9CnwDFsGdINySQaRwnSoNyA1WYW5xUPHmw4X25YNB2LdknXNQwEGrNmn3qGUKyVdRAedGd8+733OV8tWa8WNG3NlBO7eODVzRuST9hGCjf6dJrMNgKz6+4de6fgIffFt6x45G5YeDrX3rZcPXXYMqfkAHfH5o+tmuTtwafet/d3Rf50J5nR8nm/nJguJ8zFzK+f3+LzYO4vhHJSMzAVbCeMSjKKDCVZOkYhJLCN8vDygq99+RuYZKjdx3z04kiecmGjZKXthEfrJZt2QUqG2+nAYZhQNeBhN2S6xnG27qhqQWwkpJF+uCVX0LY1mIStLJ3WTKMn5VxI+AlqU+FS4nDYFVtLOjTm4lVSKcuFwYrjfG1ZLpS2caCOlCMxKeOUCB7ioEicuxKgayyrtsJFS6oMogOi6b54fcG3xw/W/JV/5Zus/I944uB//yDwwavIMWf6ODHECZ8sSE1UZdLMrSi1sbSacVFp5xP4btkq9x3TTOMtmLcwD3OLmGUURV2x7sSCT6UH2Ee4icLzPnNtlDfHyG6IdIuKdrGhPTsWcdek9Kmwe/Iio0sleym+a938tQAAIABJREFUKChNU9z9QoLJF1+MQ86MZA5q2GUl2JJ6Lqu5cLuqpL5IKmnyUn6BAh+UZTJmzvG081VswNiybj8FCN8pKgHVXPDulImhZI6KOhpX0TUW00SSg6SR3XBNsgd8sIwhkakJOpWEHQMPzs5oq6ok1VtDlESfdwy6LxTDVLjexio6j4kjkSwTbs6orNuWpl0gRvDR04cDh3CkbpR2/n01KyqZeiGspOZ80xUOd+1YLluETG0NuJo3h8iuH0vGbKr52rtf5Xy9omlr6qYmEdn217zePme7vy6waANoYcLUTcGuY1BigHDiy89Zl/K2N/bcBecTYE3pcN/eFD3pdO6K7qmy33Xod52yzBzvt7Y7YnjptstzmNlFM0Iye3brfKPQU3LRie3yOdsXonCTgalkQhorZBG8l7sTPAmoUZqqxZkKK0KztNhWSLHwPkVhYSyNZtR7ppw5DHtCTvR9KkvLxtBdbmi7DV3bkvKOPFxDHlm1PZvGF3qgg6mKLNuET5DosVRU1Gg0aKyZhgCamXwieaUyhsoprs64ukzIY7jh5eGa7Zj58OWe168D+0PJWXSmdFmn1PNAQoww+JGUYwnM/dPRcLNolYvlD9DDH/D1Bz0+WPpDw+9eBW77kd0IU7BY1xQmkFNkXZNsy8v9niYX+bSVU1BxuWh0Pu4nrFtPpnxSsO4hwKBQ16Ubj5R9NwPcTMoPD5aPj5neCB+9hI8f3iBGsChqR6QBspCsQmtgDrdNOTL4SE5wGApkZivBBOgVbrIySCIYhU7hQSl09XmNqRuoGsQqRqc74yFjXfHkMYq1xZ8CZb4CSwE3rvy+J2jEQDH5z2U53biGxtbFu0Mr0EAtLctmQdPs0UbBGXyOSErEJCQEcYpaQISu7rhoL1CFYBJqDFEyYxwwJtGIEE1JJyq4QLESnNIIEnB16RSdq+iaBbWryQ6CdPRxWxLfDZgZHXUOpIHWFF+SE89NUXwcyOrJMnHVX7MfPGkwPLt4yqOzB9SNw1WOpJlDf8ub7cfsDzeM44CxWtKoamhmz5MYFDdBkEIp1Nnf5ARc5FNjoCcoAlC9T82Z/2eF7nWPjYieZg7yKVjlroNnXiV+qni/BXvMXbbM73cS5Zzoh3fF/O0h6k+45r4YhVvLnRLAUYYZJbCg0KqMLXerN7c3tN0L6qrm+fY1qcqoFbwUH4x+Smy3PcZNHGIkpeIXLFIcy9qFZbFesGzXLJ3FpCMtRSX5qPGcOY8BorFMlTJaCCr4HiqtsVpzDCWFJ2LJvviVeF/+/5oU1UyDRbxwvb/mdgy8urVcv0nYaGDKmFww+5zL4LOrhZx6QnZMYZhtD+6XaF/8LZH7V9jcs376hO8++wbrM8PqN1/xj37vD9gRqCtH5RzGFFXdX/zOl/nK+in//Nf/L66GgZWFzsApO7CwKuZgcC2fB0Cel5IpF7+YIEJTSVH/UaiJz7eJfW/5p8/5f6l7k17Jtuy+77d2c86JiNtk97p6ZBWLokmRBduwbBkw4IEFTzwQ4Jnhueb20PI38FfxB/DAgDwxCAGyDbqBTIoUqSpW95rMlzfvjRtxmr33Wh6sHTezZFSVBgb8XjwkMl/mbeJGnL3OWv/1b/h69YPy518YP3zZSHzFOAa0uj94A/Y7mK6FMA4oE8fTA2++qSyLcF6M1oQcoQR4WwOvt8ZZQUUZr4ABbobIs9uBcRhJcUeIG6E5N1ok9MLtcMk4CHnoP2NX9Vk2l7bh51pbLzLVJ9HpsOPFzUt244Sk6PCAVRKB3VAYd4/UvRGSU/VMQBIMO1cZxxi6pcOO0gKrKBYbVYRKoUllP7ivRVVjlyGxYpYpCst2chAxOk5rpow5MkQhDAMaDizlQIgLWTYSTokbkrBlP8caKmvdgIWUE9hMbWce22u+Pr7mNBuH+JzfffYZh2kkJ8dB7udveHv8gof5nofzPWaN3U642vvX943eJcVGfqXqvcejO7rdoaknn+wLlHJZEIrnkF7eiKemvDpkJZdJ4uk7yFNjLXSHx+AXr8TLzc/9c7xgd++W6FRAudwM+nL0CTP/LdP2t6Nwi4twRDxqyfALnhAIoyCD44H3x4Xj8cekwRgPSh7df6EpLOoQxOOpoaW5528GIux3QhUjpYbaDOygNK7CPc/jxpSNqyhkcYVeC5UJOAiUYNTUsOWESUDjjmkaeJYn5tUoyz21GbX6luk2vWKvz7HHmfv7wC8fYD439uaezG0SzrN5Yoj/6EQiZpWijaVVtj55xO+G/gbTQmsz4fmPiM/+AUOFz9/9Lf/h5685nuBP/xbehUBK/j6O2fhP/r3P+eGLz/jxT/+Sr/7yzEHhkyCMnXmh/Zf1C7qaERVoXtRKd4aU6H4XDf/YtbhvyL96nfjTvyls5vuNP/+i8QcvArfWuDkYScyzHEfj9gVc7Q3RwumofP1145e/gGXpzUTy7//lEvmX98bdJrRshAjjzpfjz6fALgeGNJBjcJ/1hn8fSd5pBiUmI+2MoeLFQKAGL9qSetcm/nOaCRRDVHjx8gWfvfiUKY8eO2czpW1ISOxy5WqXWfcbMRg5eeLLMBpj7ruXzrc2SSxWOUwZG0aqFFZdkaDsQ6LaRgPGBCIbzU6UNrPWlWbq3GMRSlsxqYQ0knNgHw7c7J4hoZLkjsiK5EZDSAVCbGytcJoXbNgxjjMhrCz1ga8ev+Dt8Yyukc9uv8f1bs+YE4Jw2u55e/qCx7Oblj0uR8adcTUGxuyTmaoHQBvu1lndRPQDWl5HOoLfzETEmyzeNwh8sFD0ODn7lRsAsX+9LmuVSy6kOIxlH8TQSehiq67AFO3NaDedikMP7u6wWN2cRmzVr2EJT/KdX3vmvhWFWwIMB/9zvYgOorEFhSaEKkhQhj2INFIS8k6QpKRBmM9GLZ52vlXQxcfNkGG6EW5eJCqFWpR5PRFFmK3ApLwcd6gubEXJGcZuKrOZ+5fEDeqS2apAPjNZ4PnhipkBPZ6RmIBKlsyL3Q2f7n6Hei4cj2fefqnMiy9MY/acOzDGMWAqrIuyGZyXlXGFWiMPi0e1DfG7A5WYCPHZf0wY/z66zTz+9J/x5ou/YBq+5h/+KPO7L/f8z387YCmjZeUPPrvmj36QeXGtfPL5yJ/9pRBVyGI8F2HsF2wT50ibXdTCQqjuVb0WPxxjcliqGawKD7Pwl3eBP/2bjS8enEpXQ+Drk/FPf6LsQ+TvvmjcTL7QHAb3QVnOxvrVylcP8POfKXdfgdZAC8oW4Z0F/vnR+MkjaPKEmhz7QJwgZ+Mp+ThAYAPrIisCiHm6TDbSoftGVBebIL509fEQf+ObefGJkIl8+vHHfPrsY3bDxNkab05vqcsJQclxZL+bOO5WMMjZg7aH0UeWcVJCdKemMe5I7EDcQ0VZ2exMypEQRjebQshhTyJT28q5nNj0gs07H7nRWNvMEDJTGslErocrQsoogUEeaemR0ioxe3UsxV0Id/uRQSJVK6WuvDvd83Bs3OZXPN89Jw8+emx65u35S94cf8mynJiLsrWFIUMUZ4pVM0oT1gXms4cktK0X6+bdrDnrobsUekfuwQUuP+di79rd/yx5d6y8F94IcBEyxxAIKRKiK0Wbeq6moR5O3DUIT7F0HR+X4BPRtI/uF25Caz5918VoJijOavpudNwBGByyDx2fEgm+Fqkecf/8lfDRxxCDOJPAFMtCaBGZG6V5UZQo7kcxQ8qetzddNZYVtHiAwJpmWlDa+IJljDzOd8T1yPPeBQ3B8TCqwBHKOlBkT2wQp4lhvGW1GxhXwmFAH35OTpGXuxeMLbKdKl/+YuXLLzwJRW4M2UHIgZgah0GoVSEYWuA0d566Gee136EHX8B9Fx4hfExO/4C6/Jjjz/4JD7/4a9ZTxaLyyaef85//yR/zRz9f+Gf/8o43p8h/9qMXfLRvDHvl9z8bWK+Evzr7IfoceKEw9eVcMT9XWTq22pdOW3s/chaBBeGdwk9K4H/5WvnxW2ebBAHp/Oi/eheIP23UKvzwGTy/MpYonAV++SA8Fnh3VI73wrwKj824b8I3zfhyg1McmUbBpFGlYsGeGA0qwmLCozUOWkk8kmxzuEegiVKotMGIexgjUIStejKQRdBgPVTBemK7F+4pDrx68YpPXn7MIU88WuNUVo5nd/dOIbObBoadW7UOo8f5pQyivjiXKARL3ER/QrltRAlIqiSpDGnE4g3Fo4ahDYhlmkaWdcXMw0a0GRWoUtk4UjSAHHzvFEdSuqaaMaaRLSqEBwCSjGhJjIcDz65eMKTKphvHNfBwLpSSeH77klEiEpUmleN6x8/vfsY3D3fUrRFEmLIwSg9PNphnN2s7P3q6jUMgHSVul264d9qJTpfpF27qvxpQe1iH4aEXFxOqXnSt9H/ru4KLvkBCIJIcPjHD8HMtnX2DdZsDcUbRMAp5UHcHxK/xWGDtIcbU/r7/ikzo//34VhRuM7ps17upmHwEtma04sV83An7SZkGgdlYZ2FZhG1tlNWoqxdqwTHDMMGzl8Elsk3Q4qHCYaqoNvbTFftxj6IcSWwh0MzIZ+PQt++Bfvc+L5gZS96xtonz9ac88oo1CDp8Rrqp5Ok1VhfmGnhzWvjxL++olsmDU9ROrSBSeVJZfXBH1WKsIpTqI1NK7nz4K4uQb/PDGuX0v3L6xZ9yev1zbGtcqFbHx7fc/t6Of/c/+BGffv4l54df8vlhIWUljoFPXwU+fRn4s2PlDLwO8HkQnosbeEnw/UTaYGqQW2eTNKBCxnMdlwhvzPirTfjJyVj7Qs96UWwxYgh/+dB4NPi3TvC7V/Bs5yb8DeVcYVZhVuOoxrsq3G/uLZ3HA7v9NVM2RB8pwZDYaNUYJHAY9oSwY2bgviyYbUxWQY01Quv/WYJw8Li3uhqxdkm/eNFuTyo+82zUDPtx4MXhmue3z9mPE0Nr/PLuNRdPjCTCbojsd0KJMO0aY6ceKiAhIZbJIbPviuRBGoKxqasWh5gJ4y1JrqjVO2N0cGM1fes3z+TLwKbuv7Kpd+LNbjGGnrw+ELliyIEmDw5/BqgtkFvg9vCK62lPToW5wXL8GXfHlUOcGGJAcqHhTJWvjr/ky7u3vLtzH/3PP7rhdlICyqwLDw+Nt29gPRtt7Wiz0ENm7Aki8W5bnvDlixKX/m90xtJlv2KXov20WPyQ5dEhzvD+e4l4g/DkUNFvCJY+gF/EU7zi4DeGnJwppZ32GQqEroBtHRL8TY9vReFGcBWc+fZ+HMQDDBbHIa11G9Ql9Lgf30eU2djORn1wCFFUaMG3yUPugp4QWM/w+MZQjUQaYQShspWZEALntXCuPkZdV2MsPZy4W5CO0qDN1GVlLsacPuMbNe7XHSUm8u4ZymvuHt+Q2PP1svLs+884HF6ymzIaCsf5DafzHbU0aoFtgVaF0PAuoLkF5dDxt4sZzXfh0davefev/geWt57LKQgxOPd4Pp94fHjHixc/5PPv/31Uv6ae/4wQz7R65uPngR98NPJPf9w4L/AQ4HWG2wi3wD72DeUKeTaS+rVyNuM0Q8WQW8GCMYfALxePMFMTZ24EfNkkvgleSPz13PhpaVy9cwe7/Q6uJjfXX+gGV0DBceHrac/V9UdM04EmG61VYihILKQIN2nHs3TFxDWpJDYV3rYz0QpiFaILbTQoYewMlOxsFuk4t5h71tD57AaEPqNP48Rhf+Bqf2A3TdAq45CJQQh4UdulwM3ejc1i8oJiJogODHZgkD1jHDE5QTAGqaytsWxn4j4yxANjuqUl4dGOWNxomtnaQjUPFQhipAGyal/4N1Y7s7Q7gu4xnRARYhxJyYiMIIGildNauB52vLx5zn4ciXFk3jbePL5jLZXr4UDKRgsra9u4X+/58v5L3t0rbRVePbvls5vPmAI0KWzza969u+d88nPzxKe+sJAupJDOSCJ+ULTDpbh/WNj5gObH+66cznRy4//+Sb0gS3hyeLTWBTTSF87psrfrO8/Qv3c2YreH8PAEnyBr98IPzf/uQkH/dY9vReEOAdLkS6dh6NhQ8S2xmCvWjl8r6wmGbjq128M+wnYGzn1hUtRHlOTUsG/eGFs1xigENY8lA9ZgzGHlLW9AjForUXxUnbOwmd8RLTkvuO0cPglV0fqOdf4b1jJzvzzvzKGZ86q8nhdMF0rccXt74Gp3xX6caFKYRuV6KpxP9xyPRrHg0v3ijoZR/M1cqwce22DfGYy7rSunb46U0oi9A3HhgiExkKcJY8TCFSK35KvnYH9OOf5zXn3yGc9uH2nbiXmBkoUixr3CIfh7bNWDMPQMKIxXwqkIX75RTgVum/FidNrbw7m5X4oYFi8Mi+CdkxgaKoarKo9qUI0XIfD5DQxD4DgrS738DMouJ6b9K/b7T8lDZNUjQ9yj4YhFYczwPEdeSmZsA+hIrcbSdhzbQhWndu4xWnSZbJZAEC+ErJtDOv2wdi+tS2gK4GZdwzAyjiPTNNFKYRxGryHq7dkQI9e7xFI3ykWNSmTPDWO4ZQg7cshUWRwKUKXpyqYzV/EZ03DLNI5soWDLiYaxaeFcqz+fnmoTkrHb+3OLKaCirHoHtmDtilE/YsqBIAkhouZNmJB49fwzrg7X5BywAI+nI98cX5ODsM+RnKHKRqkLb05fcPdYKMV9vT958ZLr8ZYhJGrY+GY5s273XlDDpSO+mAT8aw/pi8nQk2+ebBR4kqqbvm/EvZhLR0lcJGcN/wD1185QpLNZFMVEHZ9+ulH0Ah4+wMd7MQ89+AHcvrao9aLuH6f1N4Ek/vhWFG4JcDgYenact3anLI14UIA4l7bcu2/2zTNhSEJCSDTf4xSn6tSqxMlfnIZT9YadMO0DcwHbjLYK81lZ60LIwpSMwxQ5HEZSjGhZmahsRXkDzBGeqTEITFnZp28YmtK2E5FEimeWqtytjSCBrW5oPBPaCbSzEtTH590Y0LXRxvfqv1aNsnjSR3V6OEXF07i/Aw8zf39a86VKDJ4INV4nbr/3Q65e/gATAXlELGJhxOz75EOlxp8S09+iq9t/mvWREr84Q4+6WiOsAaoYA8L9yXg3ezM+NlhWwYqyLXQF5iU5G1/+maFdEGPmewT3j4A8JK5ulSkbSxCOD76WygHSuGd/eM6Q9+RkmO3YNFFEITknPIeNXYQdgRCEIkK0yFYCS4jokBjFpZ8SlajJQ4eTsjRF18qF5+u/xEMPLGAmPRwhk/NAzplBhCEPTiXz7Rs5ZsY0UNk80bwZ0QaGeMUUd4zDRJJAjZGQO4xQnDCeciQPIynvKNpo5ok4K5ViZwQlJc+RFPMbXIoebIJUKgtbK7QCBytMNiAExAZ/fTXz2fXv8jsvP2efR2KCuS18/fAV5+2eXQ5O/4sB8BDth2Vh3tTtIPYTL65umPKeIY6sMrNuXuTiyFPn/FTs7Imk98QskT555d7tErr/Nf1G2T/PWt+LhCd42ztn83g/a6BFwSrFXHthZmjQp+77UrilwyGhQyljdqhp6J24qj+nYfTnU/s+BN4vQn/d41tRuF2i6vzItQHBU2zC0EdBhWAe/WTN2IoX3uCkQc8klPAkb40ZDi8D4+gc7bqZ86KTIRrQCvOjEnfCqE7rSUxMXHEIjd99lbiqZ7542Ljf4F2AGt17WWogUdmnM7uQQANJFizA3AuxtUKbXzNvb9nPiSElVCtt20ii5J2wEyj4Qm5eoCz9ZtUxz05u+e48rN+IOkf9cCO8+P3PGD/6tyHfAq+p5x9z/83PMUaunv8Ow/5jmrxj3ZrzXHGctyhsJiQzx7BNkRSwqLQC59l4PCpaxdNfzBeRtNCpVf0kC1yMkK0vO59STVrfegYIRHZTZhoKaVP3vlDfrUzp4EwMSZ136xts6dS+YIZpQetKaBtDbQx69gi+VmnNKWE+YacOOSRnJGhDgoczhB5y4E12RD22xdV+4krMECIxRiIwjAM5+nIydpA1dPZEE6GoPT3HITvTRJqRYnI/6x5cPKRMzIEYgy9x1Rd6zTaqPRLkyGEwYghsQQlkXlx9wi7vqfLIWd9wroVlq2xto6h2c6Xk2bEWeDW94Icv/oib8ZqUM0TjNC/cHV+TkzKFiev9jhwDBY8qbK25/8/OeH4l7MZATpEYE7Upq57Z3Xh25uW9VfrN+AM9ujV7SiwbBpgGf51dxCVsQK39Y80/1u/19tR5S+wqyuZ87LYZuqm7+V1gldhxdFzsFIJDYqn/yuLfOwd7mkpds+J2DvS/s+iePN8JjFsV7t858b+BqwAm38zuM1wNQsBpf+ej21yqeV7bsBfqbFhVNyAfI8OhcXPtbnTb6rBEq82xRi7yUtBqkIRx2JPMuGpH/ujTZ/zei1vqER7XwvXZeCiwBmFLwtiMVIxRK7s0k4MwDmfCwbAUiKak7H7hSRpDcgVdWY1lcabIODhffHftCsC1uCeLqUMMBGN/A+P0//Mb82/4CAKDQDHzReJg3H58xfjxp1jeY3bH9vZf8NO/+N/5+ssvWFvm5Wd/yB/86D+ilXsezgtEI7bQ+c5+LWwNUlGXLZv5kkthmY129uJrEZeX4xax2m9+cqGBdXqWXzOuggv23sdCCsybz8EWAiG0Dgv4wcsxIxpRqwiRRmGzo3d74v7rmyllPVKLkBch1EdiOzFZpRShlAp29uu7dt6fGgWhijvHBYwoftpVPVC2mWIqKI5/24XFYELOiTj00AHZMFYU7XJ5VxXmsBHSPTEvCErRikRjjCPFjAjsGBhS6jBCBxvk8jUXxtzYBSGKUFJmSi95Nr1iN11h8Rn3W6XO31Ck+cIYEDJRIpkb9vKCV9d/wLPxZVeMRoopj+sjSQIvpo+JZHbj4IvMqogUptFI2Zgy3A6RMBgSFUKj1TN5mHnxzK+LauDUbSc36AW7NhdkqboP+T6J8+rD+4XwrE4hpvuGtNZvgNJvAsFIySmATV0zsiWH87R30xdYhOTwZuww2JCEIdGnMhh7xuaFiXQJKL5g2TEIUn0M0PKb4ZJvReE2hK30w9THGOkb2N0Bnu2MQZQ78XFaDA5XwjgExBrbEbbVF1SqnnLTqqvTVJVlbljrgpYOq8SIm/0kYSLwSVj4u7cbf/xq4Hav3K+FlwJ/J8NUIyW+gLSnlG+IbeEQlEPcuB0KVzcbemU8NLAa2KXElAYSHmKrZSEUpV702tW6VayPbcPkhQrxCy0MkCd5MiD6tj8Eh0ai+OSUsjE+G2lpIuqJ7Zu/5id//n/z7qsjdQlsrfDFj/8vlvPXjLtnfP3NCeidTvSCaf3Qld4tmV46ZqEsfkDNXPyy3xtTcpvVJ6Oqy3OL8rQc8p1JBzUvC6wGtTgdE+ndURJq9QMoBqUuLscPkVnuWPXkkWI4J802sHVBV+2huCumjaBCbqB1xiqsa2OrNx4eQGOuG0Wru1uaEPrUGNXIXQq9rY1mxaGIi/hDvFMec2SpC02OFD1SrGAGuwhXCYIoKc40ObG1E62pBzZPGdFGbMIYY1e0gknDTElEsiRaaKTRuE57IgeKZobwjCSJ/ZDJuwM233Oq7xiTojEzxoEcJ8Y0gMHz4Q95uf+Bs03SDkJgWU9s28x+3GP6ihSS75ioNN3IaeP24D/rmIx9gpgbxNJ3FSeu942r3her+HWiPEHQT9mxl4Vj6gK7KL5PcqjEbYjXCw1QoTYv4JfloIiHHqdOeigNTsHDKDbp6sckEJSQIKVAikoO7lIaxW+QscMl4QMWygXiyeb4e23OQGviZeI3IaXfisKNvNf1P5260qlgm1CnQAyBtRW0vyDj0B3hDsJpNJZjx5fMmB/g66Zc3QRSjqg2WnOCu/tAODthikaqjVtOfD4YH0XYx5XEiq4bnOB6EV5xBdd/zF255svzF2z1KxY7gSxsdWW6FuTKaUlFA89vPmHKO9q20rZHtrLSxNjv3WqW/sa0JpTS3dgGz2NcZnea24oXp+/Mwzp90dwLWyZBmCl3f84v/sVPOb4+U4s4htrH8devv+Dt8S2/eLP6mCuu8LPgQqwAbJ0Wd1G6YS5XN3wyuX4mPLv1w7UtzskKyHvQ8oPOBu1QgAB9WQmCFqOoMZl54Y7emacYUd1Y1nusTR6RJ19TUmFUf440iMWQtcJGj5sztAra3Ium6UZtja1manU622UujiEjsRLFx/HWlGhefRSB2vHmslFapXUD6Zwi42jM+pZm91QtqCkZOORADj69BmmYrVQ9ow2yDIToDIgYIaSAiNGsUquiWojBzdJigCllrqePibxkrQEsEWiEqAxZyFUYo3FIgd3+wBQzYx6YhitEG/v9nv1wjUhCwsRSKqflRIjCmAfEdkgAteJhw7ohcWOXhBQgB2EXoneuUQkUcl65OvBUN5ALVOKF8Klwa59igy9Xg7iPyoXpcYHlqrm9K61Hh10Kt/nnDNk/vzWcd9+rcAj9a/ZOOg+QkzJEvzmIqRfsyxHp2LvgXb9Z71MFYr++L0U+he9A4RaAPgrGHPwCXt2zuj4I8z0MY0UC5BGsKafFO6m1uEjDOuk9jX4Q53egqzFd+0hTzLFuzHmvqBfGbYYwwTAoUuHdu8o2TTwcC988GHPd8fyzH9IOHzM/NDZ9xptaqRjIRgHCTsg7Y1ciVn1lahopatydzixbw1a4TcKUjThBjQ7xSBLqAmEQxskYd4HjnbHcG+U7EqRg2vF59YVPyCA8Yo8/5qu/PvL2q42y+UVfaj8YYtgmPBwLy2wEAltoT8GwkrvXcu+apAsr2gWrFiPuhc++d8WrF5XSGo8P1Q2O+pJH6YkzvcPRi02uwBMPQYAK1RyoTMEYYiNJ8mWfriz6yNrOlPbImh7IGVAX/oQGeXOeeWzNrUUxmvnNoDSego/NOsxhgZCEHHYEUU66uflUEJBKxCESOs1ss425LGyl0ppi0hhyZjdl3i1u1FTw12mSwFXOBKmsNFR8EjUKRZWsRq0LzWZCLH1NXh9dAAAgAElEQVRTV7uEXdC2EQheaDGGeGA/fsyYXrGVgdOy0OyeTWdSK8DClHdcpYDZwc3WYiTHgOU9QxoJMSIh0zCW5QRiDENCxBiHiFrzG5I1RDZCbAyhF0MJ5Ji9SAbvg2Oa2dl7lsgFkb4Y/F2yGz/0tA7iCtlL9vZloqsdU3nfpV+6bW+HU8eqBajNBVN5cPhkyr4zyUnISUjp/Y3/yVmww+2Xr/3h86FDOKJQP7ihXMbF+TecuW9F4UZBNmAUT6ZJoLVA6QuH4Ac9Ze9iSnWxyrIY1S2ufTkw4oySGGhn9S3yENwDYlGquGdAHiD1qKBlhtOgbAOcHoXHs9JYmc+B+23kox/8PT79vX+fr9/eIfUrbnLhfjVmEueqpAhNAkmVWo3HuZDjA4Ezd/d3tFpZF7ct1VS5vhUY4bRCC4JkIQzK1XUkJ2e81JNwvFPad6VwG5TyAY2pChxXHu833v6iUVa3522VjjWLZ3Kah8rusqsf4uC00Lwzht0FsvBuOUafTjQoMvl7/dFHA7/zvWv2Y2VeC6/lnjHBllwCf/GGEHGur2DeEQuoaE/bdgZHaz4/pxidw08mS0KbMusjrVaWMiN7JVnwfED8us1ViAqxFzu1C80LNhU2NWcMYM7GCIEUfMSvGlii//yGU89iAlMjiTAAaaiUemIrK7U1QoKcEtOQidF3C1YgIIxhYAgZiZGqZ4JEJEQUX+jFurFsRrEZYsVsoGlx7rgEVKsXvL5gTHLDlD/i+fX3qTWTwj2vHx84rl8R8o4cRobwjBwbpUYsKBaU2hoSYl8cGnkYUZRaNyQppczUupBiJYbgy55UCG0m99fwUvyCKCKr380FJDj2/qH4xSf29xQ+7d/3gok9wRO9cKu6kCubX7+1Y+NdLYP0bvuS4gN+E47FIc4U3M/Fn6fna6YO86XEU6dt8KtBwOaNTgwQnxoSF5al5CKnucHQ4OE3nLlvVeGOOZB4T2ongKlSN+dpBwusZ6Ws3p0PWaAKWv2NyZGnIFnpXh8BYxgDhM6fD8bVFAibIItBMeZFeZgD4Y05Th6VuY7k6x/w6ff/HjfXL/ny669ING73gXeb+xyX7hQ4L36XfjwZ7x6UebljP0ZMm6f0CIzRoYAtClszTirMBkW8YMXoBxXeLzB+K5nzW/JQg23z4m0C5wflm59F3rxRzidnOJTaaZ6tY4/ieYQpK7d7gWSE7AvZcQd5B4JT3UxdAl6CT0d5FHYZXn0Mu70xhMxSC6gfIItgpXdNUXwsbXTjeu1pSr3roi+1FPdtF6d1hRAIOMymbMxaOasyNrq8OTCGa26ml1ylPUOqsD1Syx2lninNKXmrwir+tUsroEunvQnavUKGFAniBbSqS7RDginCYRBus0Hb2OpC1Y1sGREj5cE5wc2XYVEGRCaqQowNMSEmt5NtatQ6s2wr0RbnHI8JtYaGQjFXUJqWbr/gN5WqIzHecnP9CVojMDLXNzwuP8MUUjoQJWL2SLWVogtzmSmt9VBjSMHFbMty9tfAVt4dX7PVRyQmouUeHFAwKaS+hDbzBa3ajNqJZgkJC8jqMn5xCnAQl5z7ws8XJCbuH3LpcZ2Xz1M3q/peNt86cnX5PXReeIr95tFVrQ7N9EnIHO7QTiXMPRzjsjuLHaIz8bqjfUkKvXD7Jc+FQ64JknoxjxXyb1Lf8C0p3GZAFUINSA1Ox7oULfWuy1Soq8+ntgkW1SlPzV3a0hDc6Ce4L0MzH2d8JHFDmizmSTVJsNoYD4l2bhQzzgqD+kY5psD184/56NN/hxxHTg9fMM9fkkfh5dVH3G+V5fTIMWaQgizGaTGOD4Hz0Tg8z9wOV1iEhQWJM9KUUxUez4FTacyLeyCqusAAFFEHtuqqvbOQX/+ifYseZrBV550bcPcW7h+UtZi7tfXupl02/gaXrdEY4PleXAI8wrR3OCxnb6NSj5ZqHfxL2Tvy/UHYHSrER4pGTstKa5BiIGQlFXGToCDEbH54FmedhCDevGXvgkPCr5vu9tYuoa5RiDFQQ2CuxiZwiMIu7vhs/3t8cvUnPNt9ziQTOi8s919T7n/Kdv9T5vkrlrZxNuvcXGOtSrCNFgf35sY4DCNXw4RqoNTNu3o7I9kYU2KUyG2YyFbQbaHVgmqj6hmk0xKBIQWkTbQ6sNiZQVbMIDL4itwCW1nY1nuMFSERwzUaVzQqhW5Z2pRaY5+OBmobGIYbdtM1UgPWIsf5BedlTy3ebRoBtUptlWW7JyLEMDGmAzEnaqvM65lSFhqVUu55WO5IUVFVgmwQG9oWN5EThzSa+TnedCVwZAxGYCWmglxCdiWDDT1YGUQiEUGk0mRBpaDdcTJwwZmB4Eyd8kFBvxR3wcO8U+hYNLgeg64HuBTa4EKpKBC7TF4ED8foj+CrGL/mI4Dj6VG6p1i/QV1gxtR1H/vfcua+FYVbxDtOaqWe8CIO3om3Cz6kxBx6EKlzIWNXTdH8hYvB5aRBhCb+93Xrdo/qB8h3Qn6x70b3FBatzJ5O5i90U25QtvbAV1//n8zLa94+vma4/X0+evEZbx6P3G9Hcoi0AOumKMH9Eoowyo4sAxYqmiN16xJqg3luVOsYe/XbdRp8O11WY56h1o7zfnABfJsfqlC6tW1TN7QnXqAAxxFb8z8/YYgiT9S8oXs0xEGIg2OFUTwhKA0Oix2bdy/jQdjfeHjDfjSanVhK4O2jG/fkK+FFSGw74XEtXtiiM3Vscqgt75R0JcQrf26iQs4BCc7q0H5jaThFZVHjURvjANdj5Nn4nFf77/PR1ec8O3zEftjTivK4u+Uu3nDiCm0jc/k5sy6uIsU63AchKjEGhjiQQ6BVpW1GDJPTzwaDuLEb9lyla664IrHS2qNjxAG2cqK0E9BIMSISKRssZYVtZSd+bWUyZhk1YakbWlbMCjFMZJmwHGi29iAPsCrUOvSO1z835R0pJHKOlMmQMPhEURshVWdy0djawqyeC7+PApowRkrYqNpQrRSbOW5fcV7v2Q1CMO3BuStNz6Tggd7NlLV1QZ5WVo7QTgzBCLF9wMowsIBY9r94IlaDEJyaR0+gMXoepCAaMFOCdVjt8qmA9H1DDDx11Y1Lw+E1InclZvgAUvEpyt5bxfZHlH6en1Q+PAks5dJxd9hEohfl36bh+FYUbgLkKaDVaHPB1tCd13y5IIbnO5o5n7W5odQQnZ/riwhD1aXtISl5gDJDmYVtdZqNxr5N7lBECkY+wGOBn1cImyurcoJ8/wVvtztuEO7bxpda+fjqI763z9xcXRPuvmCrhQVjVwJDbuynwHyEZVnZriNB/JCoGIt5kRgC3CYgBpTkdCZ1yf3Sub3FcH7dd6PhxvCOujZ/L3zZ7Bdv5f04eqH0NXArWFHU/HCpeFSYm695Qb8WOJjwbjOW1cUK4zUcrl19NiUo1WXvW1MOV5m9ZF7dRM6r8fbReCgVEIbByDuhmDDewuE5DFduuCQK+8m50Ztt/jNZQ3WlmVC0kpJxmBy6mMJICmOnvY0MeYcmoWpkWBVZNzcN0sT68FMkzUzAfggMGONQGEPyEAIcm5Z+slNQtK2IBgYGdmnPLu0JAdblkdPpHZKU8/qA1o0smUYjSKTSKNrYakWDMWTf9AqJZsaqytZgaY0sG6PMBFMsF5rMLrzRgdqu2Irj/FO4ZpcG99JJRgjGsi2sZSMmIxZ1tasEUmy09oC2iSxXDDSSNrZ1gZTY1LMpH9e3NFs7G6SQpSF1xtTI8gyJmdJm58sbVBVaawRpJMRZN52hESx4F2yGkUChWSFI8Zi4XiQvy8YLz8/vzU/V/2nCl37snoRa/dpt9f3UaE+F17gMxb7s7GKfi6Q+XMQ8F8iln43++/u8Sf89dMqqg4S/uXJ/Kwq3G8H4ibYKVnpbJpdxyJdM2tF+Zw24b+4TNzLQt7qONSURNBh19VHdokeSqRgkH8Pui2fqDVlYN2VMMOCLpikYu9UpVF8sxtdJ0LtvOH96IsaMsbJthZp9kbEbfMw5RuP+cYaxsNtDaY1iwqkBzXg1BW4kcXN1g1liqwvH7cRpM+az28+2y2vyW2Sv35pHv7hrn44u/g/axayXwn2BSURATJ2+JXAzwCEIRSE34eMCL6ryaRP2Z2O5DyxFmF8kHvcZnQKzzs77Bdbmdpk3CfZUQqvsxkgeMu3BzatCEMIukKILn66vhfFgl1AS9hMMQ2ZtsXdZznRoIgyp8CzD7V7YpYbqmcf5geNwZhwKJtVDHFqjhYiMV8juBVmr++kMPyfIif0oZGtMqTJEJUkHk/tGUpE+YW6k2EC8KIq4MOm0vIUEEiJLOZJszy5+xrn9EiG6LNuUrQlSjCFmslyTwsRsZ+ZNWasvanMwNBQyijGjYaUFo7QNrUYpkX2+YRpGggltKzSUeTtxPL9m2WaCDKQoCJFRAjE0StnIunBA2XU44LFWLCS/JhpUi5y3StXNvUxYEakM8YYozwhkRM6cdcN0dshLLsXWf7+IWHyrWlHt8kVw3J7igh9iL+rv2UleHL0wXgropYheMk+R9wtFp+f25kR/FW65ZFe2rqpU9QbSd3T2pJq0XpT7esNvML1DvzxC9Em879R/4+NbUbif3lB1jqTfZTsH83JLEjcMurxjthmbemc9jOKb3mTk8X0qxiX2vnWCfYh+f7AKZXu/WDxcS+/g3NI1Bh+/3izKtSQWKgRjLTOv337J+VSZ14XSlHGCIRiZQBOhNvcLj+fGhh/8Uox1hVGFtRp2nchxR1kq23nleFRe3yvrJjRVF43Id2Y36Ztzkyeczotzn5AuCyD7AN/uj9pPx7MEP4qwWzI/SCOfVOXwTklvYLtraMukw8Dp8IzX4yeU6xve1m94ffobzuuRU2vsd8J+qB5/VgzZAoeYGTc37lIThhyQwZfBORtTp2+J+WI7hUgKAykENmuoKSEJuy6WuhmFISil3fH2/sdsj5W717/gavqInPaYZDb1KYM0Eodn7FnJ0xHjjImSpTnGHoorBZuhklFx5keTBYvFdzhyYrHMjpFVB2y5Y0UZ0jVmjSA3pPQRWt6hapi6taAXo0CO10z5lhQyqo21VFoLRAIhjKgZtW2YbFjS/h5VCGdCzISwB2nUMlPrGSVxPH3D8fRLSj1RgmAtYOJqzBQSj20lJSW1SqYQ1KcBFQ/b3o+3PNQ77ueFcZhpKCONiJCGAWNHCNmpiZapOlPVM0nBJ+5LP3NZNhtA68tN8MUrgsgApr17rt5BKz1Orhfdy9fifePtaWOexqX6Xn35fj/jn6O9K78U99K81ljHXUTALkJZ9Qaz9brULv7dl+49+DeOfR/y26btb0fhlotJUS+aQZ7MWzAfWwTwtObedpsgKp0W4BvmNMK0izRt6NrvqNqLtRljDESEWoxlNmr15dTVtfukzLOPTyJGmUDHEU0ZQuCQG0LldL5jmSulGwNlcfP6dc2cToXzyXr2YejiGkOacCUwIujZeFs3rLxlCIGqmXd3C/Ojv6kxuZikfHcCJ/2w9CXiRQTR6/aTJ7J+8G88jYgGNfDCAv9pGzncfcKz4w37R2hfPfDu3R3rNrNJY7lfGD5JfBw/YTt8zDXfJ3LD6fR/MKY7DoN4aLD4FilGI1ghD25E1BZooqSk7s8dzPcLSYiWiSGTZCAF83zG/myH1IUVscd5EaAmaCvb6V/xuP01Mr4iDp/S4jM22VFiRNUIYSDnPWG4YpHkrBFTohQkHF2ERaTZjq3NzPWMxoU8+jLd4orKA5XkgRJtYluE/Ti5QCYFsAPa9hgNseYhILGxGxL78ZZp2HnhrO5NkoeJfbxiNxxACo1HivlSUoKRglHYkNiwcGZrJ+b1njFGmsDdwy9Y1ztaVeI0QRuI2ROqTJPvOnRDdcZapDEiw0CwQEoRQqI1Zd42ghQ0udJZSZj6MjJ0VkktTiOtzfcdpdvdVnUkMTSHmULHJqSzlUQGAlPfV2yA9k5Ye0gLPs3gnbDKB108l8zJ91DJh7h2Cu877gvtsypsHUqxLuYJHdO2TjU18eg97df90wTaz0rmUsCD59H+RlPXb0nhFkCqd9HaPZQ/LFsXDqbzNtV52ebpOPRCmwa6/7J272M322nq3hVp8FDZYsayeWbhOAmvPknc3oI04/TgVLa8gxe3E69efsJSodSG6NkR91qxWqjbyiVeqFY4n43HR1jPQpx8qRrUNxsJmKKQxF3u7pfKjDJNiYd3ynH2ArLL3XIyQyDwHSGVAH7BqnVsTnohx6GQ9mEB59JM+FhYVSApBwmkLxq5Vl7MO6b5Bqsrb1k501jXyvTTd9x+1Zg+u6LZwt6e8Un6DDstwIwOoNGfw6qwBCOMRurTXDF3lUri2LYBISS0JFpNWMzuVZI8mljgyaTpEiVXayTonmw7JgpXMjNtr5G6MnPHyg1LOqBxRJ/KSsY0+SGvRrFKxjF+VGitsBWj1EoaXamXIkSEHBYIb2isaLtmMyGkl0xx595G4QqxW184CgxhhRQZozCGkRxH1AKmjSEmDvkFY9iRQyImo9jgzC0eMSk+6QV6L7qiVtjqxrzNzGXl7f2XbNsjtIi1kVKUHAaKBmoVhjCwbJVZFkIItBpRmRjGPUKgaWHbFgKVMbg8PwfQqtRtg7BQZWVtJ0rZ3PUToL0XMzkoIogayZxq63uCQJKMkLthVgUiZhFho+lCa9XZWh2ysF6FDYfMLmdO+4SoHRqJF5iD97WpNr+euaAD5lNACHTvGZ5S5S9f0z/fswcu9MB0gU+CEIIrWS9owa97/BsXbhGJwP8G/MLM/qGIvAD+e+D3gJ8A/4WZ3fWP/W+Bf4T3w/+Vmf2Pv+3razFobq5D795MOu7TYUC3Wrzggv5zmXr6xTZCWo0Q/Zao/UVtfRnhPE2jVPUl4QFunwvXt8o0gBVYB7AFbq6FF7fXTOna8yjbxrYFggRGS2y2sJbF/XgVahGWVjg+wLYYh51TD1Pxm4ZirEGoUd3ONQvnYDyWjc1c4j0NcHUFZGHtqk77LhXuXrAv3hCubnzPIrl0KU8QnxlqAVWlCWxpZnv3FS+Wwqv4Kbdyw8zKL3hAVNEYeXUe2f34xPF3ZrZ9wTTySj4mfnNHCYW71Hjcu4f6pj61TMP7UbY1x9FjsSc5eilgNXr81CCdseQvfOyhu87NDShKqZFBM4MM7FB2KTNowOqZrZwIdqSFZ6zpQMtD38v48qzWiVIqm1Ym8wAEz3go7kmfvKsfB/je4Rl/5/Z7fHN+x1cPX6L6DjWhtAOHfSDESIqRzBVDfE5tJ4fYbO+im3iCFMkps7bCppUxXPNs9ylRhRTdrzzFA6ITmx4xZkwqLaw0q0id2MUbrEFtbhuxloVlW6kaScvRDbyCUoAh3TLoHiuRN/PKkgQFxuEa6oEgxqkc2cqZqyzskznHu4MWa72nxIaqsdQTW1svxnugrhOgEwxEPVd2wN0ZBwlEGUjDBOa7L2To19hl6is0ra62vByuCyrR/8r6svJSOy4J7E+pZ3K5fuVp6dlwFpvyXoQThKcdjpnfbS5TqKh339I3lS7Fdw2Cs+VCX07+f1C4gf8a+Avgpv//Pwb+JzP770TkH/f//29E5E+A/xL4EfA94J+IyB+a2a913jDDYZB/HRbpm6PQ1W8xuPGOKWizp5/LgFagLYHNXwvcltMPg4hbM16KScywuxKunl1iwpp3hCLsDsLNjWB2Yl7f8HDePExBvYsjTiz1kXMpnf/rsvt1Ntaz3wAoEDdfPGxbl9UOhgzCcPAwiBCNdRG2s3/tGALTJFhqSAi0xb4zKe9wuY/6G3KBRS7QyKVww/uLF/qiyQyVQA1w0srcFlZZsLBnIDJYIkjjOo587+YjVBNvju84dgVFOhemnwWey/9D3buF6pqt+V2/5xljvIfvm4d1qtOu2n3e6cSYRIQkakhsjCBqbE8IXiiCh0TwToIa8DYQECXe5kYEFekrDXgXJBqMEtKNJLbdbXfv7r13Ve2qVWutefgO72EcHi+ed85VnWTv3ZKAVS/Mqlqz5mF93/d+Yzzjf+zpnlamQTiVGaqRROmiIb1nSa/FpWZWVqief1KlebKktq08tzxOYKKyxXP6a2FVkDaQ6khkw8MN1CpWV0Je0LYSQnPCzHpqUsQmzCKt7KjrTIkLKvVRi6zihptYPZ9jr5E/+o3fwx9572f53v0X/M+/euSLcmCuZyCjoqTYk2LENDD0F8zLSgq6hWGNFGbkS47MWpTd+ILL8bm324dIHHq6cURCYs5npvWOKb/hOH/KtN7T6zVX43OCJbSJE30Ic22cl4yFI6ELVKlI6NmHS4/eNWWRI1Y32ElA8oy0lbkcqG0iavOIUxRtYGJkc4ORSw2bZ5FvE7bYW0lpxSFNmpcWW10hCEN0wEE2xlHVrY2tKa3686APJcFfykeSLy3ebPfqY6zy9rmHIV0RgkZq8+1GyL7OCBBckRaivyEea+jkba6JwSYo9/RBMfUArGB0oSPGgEhF/kFAJSLyEfDPA38e+A+3T/+LwM9t//1fA38V+I+3z//3ZrYAvyUivwH8EeB//0E//2Eas00D+SBLEHFCUZJDIf3gtve6CtPBeyYfYzqzMR8a6+STktvmtxflgd/cfl5KnsgXe0M724gNYWk+YQ07ZZ5P3MwTt6dGJdAq7Ltn3Gji41q4sYIC8+omhFLkrTuvvS0ezQXmDUATYA3GfjSGLUZToxtAcjHmM0gPrYcUvl5QCbDxEVuuMRt8smGFwOMpSXh48/n/0Cq0BW5q5dvtxEW7BUkcWCjiE83zbsdl6Dgcb3j5/c/55Hnierzm2Ztbnn7WePfyOVe8RxlHlvW3WMr3iTjRW7Y8iTWbOwlFCJofdbqaXLVh4s0myKbtlYdp27mXVgOd7OjYE6RjGJ7QmdDWM3l+TSMTpZKYiCbktvimzBksIfUSaY6PU7cY1u1U6eSXYKbs0xN++vpDvnX1lO584uPxGaebibtckLBSWiHGQIiB1KBLg58IEZoqahGs4yLtuUqDT+OmXI1P6KKXHFxeXrHbX9L1O8ZxTymF03zk5vQSFaWun5D0AqUnSoeY+OmouIRzrSvzOrGUQJPCVRrp045cKwsC+45WKiI7WuhZaqGVxtQm1jzThQ2wbo5DPCjDWmubzt/hNjV/P8t2H22HXCf3trXNWkVkIUggSiKE5AIGMUwLpgvWVvd9oBDt8YQIDzzaW4Ky8ZaIdDJzi27fdlnbMPUthNpPabJlb3+56/Nh3cF3H93WAEF4yCtXG70btU1g+RGikx/Bcf1uJ+6/CPxHwOWXPveemX0fwMy+LyLvbp//EPg/vvR1H2+f+x2XiPxp4E8DnifxoGE0QXshDvBQ7qkR0gC7ayVEo6y2ZS9DW23D5LajeQNb8b5KxDHETTxsathWcRVGQ3uIPUhWphnuj42LC91E3sLNoTCvQpPCmo2xi0ja0aLS1KGd0vzvuJonAzYzUlBSUNZSqRgk2IYBygLTPciOLQnJN6O8wv3BCAvEvW9W8nVZuL904/O4UMvffdizv+PP25snnIX8KVgWPrPMUA8EGZilMOPGm4txT9LItL7i5c13uQ8dT84fcfHbZ17cVp49+4Cy+2neu3jBXJ/xaf7bSLnBbMbaeZNqeVrbbrhi7A8M3UofO4ImlETUSKniwwJCCpCiuYlDQbUDHUlhZIzXPLl8l6vhktoaN7dfkO9eEtY7QjkRZSZKoSqIzLQaqDWBNlRGGi6vq+abtm2qhDGM/KMf/mP87LOfRfKCToVv9pd8p0W+nzNLW1lzfsRLvVyhwyxsP69grdHrwI9fvsO3Lp/y63XlY0lc7J6Q0oiYsNtdshsu2I97dvsn5FJIcaBhnNd7DqcDNQtTXujoMTVO+UhthS50dEzQGq2tYC4H3MfBy4dzJcWeUhox7IgxclomastM9eRdr2bk4t2kSfBaL3lwInpu9moQY6ILAaSgWh0abX5/PWidG1C1UWSioIj0npPCRLMJJDvprxETfRs0BRiVtvnR7cHavi3YD8YY2/i1sC0NzYxGpUnxBTk4BxLUISh3fcJDGYJ8+fsFlIDYHmEP1m2PRaAdaS0jWhH9+5y4ReRPAS/N7BdF5Od+1Nfz9xay/F3bh5n9JeAvAUhygEgFJLg6pBv8R5XqT0Q3utU5JM+0qEXJedudtydPtlyKtgnhBZx4yYaZt00TzR1wl8r1BXShbWH2bTOPKMdzQ4G+l0cnoxmMfU+IwbXg20ajumkxLWx5ydsRe1MmaDVS53JFTKlrhWWTO9ZNOyauYVjXRhJBs6HbFPJ1uIwvQSF8+dhpvP3nl0hJNohgE3vaInBb2VXhXoxPLDNyJAErnhz4pBtB4RAKR63sc+Hq5Wuefdt4Ugb0yQv06gV9f817l5Gyrry5+3UKN7S6UkoFhK7r2PUjY8wMQenjSAwDKju6OIAZndyTQqZPRheEqK5gUrkgxHfo5AlDf8U4XrHbXbtb1NSxzlMgrkqqZ2oA6wolwLRmlrWhmoiyR2zZ7lNfMKyCWuAb1x/yJ7/1T/Dhk+fcfPKrWA3sdOCJDfTVOLXKeZrIF5kuCGxZHRDJxRdHaZV9DHzQjfz0bkCPQr66YtpdskpPCIm+3/mQpJEYeqwF+mD0sd+kco1GYVqPJAcEOK63mDok0yV3FgYZGXVHJ4FklWaVBGjsHLrRkQKc85lGYc4zc85gxnkVTJzj0eZRFQ5HmGPKqlx1A70GUIdSVDPURmWbuB/ISjVCLCBHjAVQKsWzT5KQ6Jz40+DE5UYcV8Mbq9pKs5W6ySkRL0t4hPU2zXWRhpD9Mw+lDPg6EMMm53Pw27/PnEhVfXuqENuUMCYIEbOAtXXbKAoq9YfB28DvbuL+Y8DPi8g/BwzAlYj8N8DnIvLBNm1/ALzcvv5j4Jtf+v6PgE9/6G+wvwMLShCSuUZ0S56U4OUDwyBYD2V19cdDN90YnxIAACAASURBVJsm2Y5Xb3dJouOubQWqd8YFg2GA/Qij+gLdtDoRqpBSw1rDbGvN6JRjNmqGGDqgUVthf7Gjb0CpnJeF3MBae2xzrlvLeUpCMce+S2uPZMdDdZZtEkARwRYnzFSVXZ8eSbKv/GWOOX5ZPoW9zUoWe5huti/ePhfFp+my3dSdwGAwWeZlPfNcAkEa+5AYU6KEwo3OxBh5sV7z4gtlf14JXeD47IJ5f4EGpUsdT/bvM80n7o4zrd2gxiaR6xk6oY8DXegZ0g6VHlokSUdVowsDQzx5pKf6gzBLjOkD+vC+8w/9gMRum+AqIURUe9COphHCQAiB3WhMmtFWqMW1w1EH3onf4N3L3k0aGFoiIST+5Ld+Hz+zu4TzifuXnzDne8C40h0XrfGmVY7LgSWf2SW3aej23qlkNBRfxMTQMtGtn/N+u6FeKd+TzMsa0DhQW2NZZiDSWg/mqYMqRi0HSn0DDOR8YCJTRFjqvbsZZQWFimLWEXVPLx1KIbaFoh0tuMxSVJmWidN8xKQx5TNmrhBZykMmuDjMsN0vNH9MXRSSVlKIaEyOsJeKanvkINomv+uT0akQtSJSfUOAzYxnpFB9k1LPbTHz7OBgEdOKtYXcjmibPLsbf88+cjIb/IdB0PbITYRNbqxfmqgfUBiHf9lUItuQh68LfoJoWC3bm8hhurbJrx4C537Q9SMXbjP7c8CfA9gm7j9rZv+GiPxnwL8F/IXt3//j9i1/GfjvROS/wMnJbwF/40f9HoENonCiQqJHZ5Z1Y2uL48UpvyUKQuepXJ42Z9A24tL8zPWQ0a35LeGAeZogBYJ5D19blfnorEcX/YYJ+BRg2ZAC5yokTeTc6HTkg2ff9Ibu+Ugtd6yWH5UwK40ZI3TbK7e8VTawWfd5kBl1Tmh02iFFWKeFbuwYhuRxl1+Tyx7EsF8uy3yAUAwn/IQNvnrriC2G776tEUQZzMhiTJ507u674BGri6ycQuMF13zj9cC7ny1cZeW8h0+6iWwr0SKK0snAvn/G3eFTajGGqL4wUQgKKeyI2lCnQBGNqLgcMIVE95AZ0QAVLuJHPOl+ilB7DvOJ8zxzFxyCiUTWXFjLyrJO5LJCl+jTDt2IzQ8uR4a653y65SfGyJ/66R/n9z6/8oqynLEyshtHfuZb73IRT9z+2i8yffa/sYQZmYTnU+PHF6/PS6nxs892PB+vOBZ4WY7cWKHaiT4pUoWYEtZu4HzP/vAJT+rA606gvaDUxGmuLOcz5yVTirIbIkMIiKzAHY0btO0RvaQyU2tjqUeq3VNZqBg1GxAI0nkvJ75oFu1Yt816bYWb6Y775Yiq0Vjpe/UpNWw49LaBe/yDeO9qAxWfiiVCTAatYFQ6AdFI0A400FpBZCWE+jZfRN7mcyuC5/qumDj+H3RAdcAIWK00DVBXkHmzyhsWN4LxSzZ33TiPByfno6WdL9nfN2mgwypsp/BNbFGhUYEZoQNpHqWrCyYzbJkxP+qt//ej4/4LwC+IyL8DfBf41wDM7JdF5BeA/xsHAv6DH6Yoge1JCD55xhCgVNYTLCejTl7OuWxHM8veipHXLXNXDbbKoLpuAUeox1xG13e23DYdsSCe/U4sgmSHRw63cPsaUIcsSntIHIRhZ3Qx0KnQiTCvC0mVThL0gSRCXlYmqX44a7AaDEFdpbCxHdK2HTm+zexVEVIPl5eJMV6hreN8f0urK9j6tcK4H2UkzR6dk55/vX2JPTD4TjgpGzlpTuo+YLYJYRChN+GJKH0TSuhptXGfJ1iNb3zW89FnlRe3BVT5pDvzG+u3SYdLnvYfuH5+I49j6gkaCFJBK9bKpgiIVBprtUfXZCNgBFS9PBepiEVGeZer9FMMDETtkA4Op1u+fft9dhq4TnukVg7HNxzOXzDpSgrPt2xv6NITrrp3eNE9JZ9e8cf3gT/e93w4FuZ6ZtZCGITr958yXoK9+pzzJ79Emz9DqHQH4Z03yh9ix0dPrnn+k+/xD31zoKPw+W3m6elIDnf8ynpP4ZoURmK342J3yW5nnD7J2O0BvbqkpYEJY22FdV5QZob+gt2wx+nNzJLvyXWlVqFvr92zTaYwg56QUB1XrhAlchFHxtgjZGrYMkjqQqVyavD6fMMhnxgSxDgTNbuZJbw1qjwatoqhFulkIGnYyiWyj0K6kIK5DDKOBNltmu1CtTON8zaN+9L44NatbPelbze+IWhPkAGRuJHRismm/rHVrfG4aMFPkhsfo29FDgiPqYMPU/aDX0HxAdO2hbvpW1RBxDAWWrjbGuTLo4pEdQtZ+we5cJvZX8XVI5jZa+BP/oCv+/O4AuV3dz2A9wEEl+YtU6Oub3e79eBPUqsg1liWB1LC5X3ERrdFLUp2WKRuMj4X0/sCQTZ6lK5BWyBnYT17mXDc+UbQtqO/YKQOJDZSF4l94zQdaTYRNhRQQ9jcUttD0Yeg9UoUYV2hBvOsFQGCk5mxh74z+kG5uBjZpx4pQkfPPK+sdXpkrb/ql7PvW6b1w195y5nBvjR1bEfgsL0ZHE7a9NTFtkwKpQMuRXhGZEA4oazLmfN8JN3NPK+F907KdQt8voNPny58yncJ90KOlT7uKTlTbCao0HWJZhUzcTmYKLkZrS5YXUjtkl47kjVKKdRW3H7eQOnp9XqbAL36KwRhAQ6HzzksByrQa2KeJnK+ow6GDUrHBRojqb/mSq6p6YL3x8Qfaq958dlvsv4/v83cvaEMQtxfkLo/BOEnyd/+DuubT5Cu0WfQW5CXjW+8M/Nj7xc++nDmxZOPmQ8zrBPaXjLF7/ExC2d7StGOXbrmvSfv8mz3hHP4Dvlwj+kd68UT7stMLRNLLYhV3msLgR6asuYj99ORuxMes6rf51Jh6JSkjV3EOxaDYX3lOixcpMbYrVjxLsZWT+ScqUSm3Hg13TKVhedJCWGiD41e306wbrhzaCCFnn64JLZuW9Anqs0YxaHMKAxpIOpI0g5PIEwuzKuZWpe3MtS2/Wzx6AUzw2oFKX5CVyWoa/daXR1KodtMOm7kq+b8w7bmPoZFPRQs6PZzH66HRvmHxp0HH4NsJ4pH4hJQWR+7KB1Xd1w/BNkMOD+4vOwr4ZxEHDKAByWFN7OJ2GOGbV1guvVeRxUw8ZtHOn/QKQldMvqLyHpq3L7x6VtNaEW8ZBjxUBwT5rPRFqHaQM0+yqcO2MKoQvJx9yHoq2ajhZnj+TWn+TWXw4A143g8cX86kGv1cKggjJ23ulj1vJKwKWMEX7wlgCZIvdJ1idQFYvLMlbEPHA5Cm/x7vg6XGQ4/PbjH+JKdFx4hE7+ZhdBcgeORBttJqQA+PzGgXFviqSQGM6Zl4iCVNR8ZbeG6NZ4xQgx8fjXzm0/PvB4aQ/0Oel7Zx4+gJtYyUa26NRx/baI2NFY8dKiS2+rtMtozNMFsdVmgCWKJKJeI9VBBaYgVwrqwz5maEucmrOuM5OK2cQkgM3N96TCbPaHTJwQdGEX5sT7w3rIQvvvb2MvPkIuGPVcIK3r/W1g7MX/yKXaeiXi1XvhcqK8bz77Z+OCdN1zs/iZdek6/e0p62nMRAtIFfvksfCo7LuMVf/DiKd8anzJ2C8oFthrhsBLTivbGamfWOhMlUto909JYGry8/5hPbw+8vDX66IXbXTLGZEQzkjpZG4LRpcZ1uCO0a4S4KTnO5HyH1BVRJ9zn9eCnYmnswsqu8xC4aualF9vipyj7uKezS1R8kiYsmJhnX0dX0cSwow+XzjmZ55jn4kXHDzEZG8X11q1YwQhIGIi6J0lPFyIxRGqr5GoIihJp4i5nMaGFQDXPzRd1bFqCL9oxeDN984ZozBz7lg1ee1AwFGubmp5HUxo8aMJx7T2KSCJoh0j0rB/e/MD33FdmafAjg+9GQYIv2uomC8HPIw8uyQouFdxkdkE3/eT25JXqC0HDX7C8btVO2w44r8ZxhqELqI7cn05IcmOMpUbrhNZDMDdxqLm0b1pec38+cDzfMp2VslZKbayt0tiaVsx12f3oqhddfNcWdZmTNcfeNHqTyzAENC5oV9mNCSsL57p6g8uPYJa/Mpd57CXtd3b/GV96DOK5xIkHAtk8arca0yzkLAQ/b9GJsCeyt0iiQJk4nI9UqSRxFUZV4dQVvn298OnTytwJQWbO7XuU9QTtgrJ2HqKEQGwOfUWh0+gVZi2SpKfRUWujaENVCHRcpmf0caDngsi4wS+ZuhzRZeJJjMRhT+PEqZ05ThPWlNWMxWC1lbx8n1BvyFOg6siL+Jw+zYT2ijXfU2aXvNXRyJ3RTidCe8V0+4ZaQFdBD1A+b8hBuByV/Xim6yp030C7H2McL9h/JOzvX/C3T7/O+Sj8IxdX/PHLK56QYFoJUyOZEKvRmzKkxGqNWg4I8Ob0HYqNrDbxK5//Gt+7m+il53KIdKFAW2jNnBPibZ5OUjCdqO0NuRQ33rQbcr3D1gWJEIrQmat3nvWZ664xJg9RW5p4aqc6ptxpT5SRRE/SRAqRxpGGEDRg2qE6onZB4JJApNEQqVRrlPrgN/ThLGxRuRUDCaRwSZ/8I23ksajRcka1OCzTIhHX+mMBZMR03PTlC8YJDQUN6jJMEmHbMBoV24hLIbg+WwylYJapVt8SPriZ0F2TESERdEQk/g6V1g+6vhoL90bR1ke/v+MOttG4uhlqNMpWASQOU2zYdj/4jRSabPpQJxVS9AXiMSJVjdqE+5NnolxeRPK0cjxl+ktl3Lke8yG4KiUYVKlFWa1wPx85T4m8NNbiWPd+lxhi5M26+lS5papXCmkwUoYpb2SLbqaiDSfrQmPoV7q+kQYjdIppQ5NtIVv/f70g/98u2xZueYBFFCcjv/T3F91sw822BD2HSVprTCV4EltsvgFQyTQWy1vYjiH+HYDQUE4Rfnu/8GtPVu4uFJFGAeaaWewlNd9S1xFpHSEpIQp9gn3q6LWjrI1cDUJAgpc741YKOr0iiEeCRusITf0B5jOywiBCComhjfS55xRhjpmywmrCuXpr06hQZOHm/je4WVfW8cf5ZMi8d/ptnq9nrECZ/V6NM3Bp1GVmPix+5F6MeCvMt0Y+GvN9RVBs2CPxOXa+gN0lvL+nf208+9Ub3pl7/kC35xsE9H6i3HyPdnjNKNBLoVPdjCpG6s7kcsvL5SWft8DduvDt40yl58Orj7gaAhLvqO0lpbhvXMWLHlKGWoxzKYT4im69Z6n+51wL56WRCgxE3h33XO13vBiEMRR2yajasdQR046qmWaFXndo6wmaGOJIlIlaExKfEcJAlQgtEhgwImLJh7WyYjVi1qPicY8qiRh2hDDQzNAUUekIIXpLUjAnUq3QWEGqy1NDciMFDbEOaRdYS1irGImKx/iGEFCJG8YeEdhiaguIbMOnq34iFWOlWMZofvLX5LJAFf9+9WnbEKzJY47JD7q+Ggs3ING42o+sS6aWhm0TrIinZYXkcErJrghR9Z069Ylx2KEswAwYNXtG9qMGTUHiA3lgrAWWonCG+bBSWuPpPjIOlZQE3apbXHfpnYlLU06zUbIQTUkxEMTYdcpc8pbo5bj4sroO9uqJkDqlCZwnZ4vT9lhcvQJD1+hic/7H/HeOvbAb+ZEExVflMvPIgbCZbh6ZyOam4KYeOh83nLtVP0FVEe5D43avzGMlnY2OwIzxic1Eq+zFOEmmihfurgEmNT4bFv7PZyvfuWpMghPH1csoajPqslKXwsA1VxrRFOhCpI8jvXZQfUKszZvQa3N8OyVBiQSUaB2d9GiLtDVDNeKmv815Cz0CshamBHOsnCc4z4EWq1fkSWNdJ27uf4PT/AVjB/vpjt9TG12ntGrYDVwsgrwQlmGhnKqrj7Kht4KewaJQolBSoBPBDve042t0F1GLyFIZivJOq7ybJ+KbDHli+d7fQo5v2At02mhWyeWM6BnVGSFz3xbuZuFuhsNqvLd7yjcv32cYIqcWuDndsOTFT7kCVmAVOADTGd6RSgkzrVZWE6rplpQHJoGEeuWbRsYY2IeAxveZ9SktDhSZqe2ImqBVSQSiNcQanV6jmnzLbiASCdYRi6IFKoVggdguwOLmf3AYo4t7VCO5ZR6yYL0Jp2FWKNYo5outiitW3LEYUFP6NBBNsDqRm1FoFBOaBULowWsdUPG1YDBFZXOYWqQRNn5H8c6tgFnZyPnw9kMjSNpSDROmP8rw/lVZuM3x3Q8+esYXn99x++rscjk24F4fcmvlLaOrjhdH6chLx9qyEx5FmCdXkTzouqkOUfjIh0+DTZhOlelUfCEdKvuduP7VQFqkleZcehamWVjnRKhKl5R93zOdJmpbMbzYgei5JGtutCp0QbG+EZMgi5OvLqdwe2zfbbGh7rh24lWMsRfWwXG9r8NlBnUV18PKhidutvGGV5jF6JhhKRu33+Dc4NNOOIyN1jnmt0gDU97QmG3iSpReGlWMrEoWeN01TvvGL+9WPgPWyeiAnfnpdslQJsEm//MYO1Ic3ChT3bDcUEozprxQpJJbT5eMS42oFapFokRaTdRW0a1Prpkxl8yUC6f1xO164t5W7qmcVTmWxrxUAg+2bKWUSq6FU77hN4Jr++sl/MTOGM9KeNMIKPVkTIcTeW7IILAYHJpr3kfBLgGr2P0tbV5wi3DADmfki3u648qLvCJvfhM7KOdXL7k/fIxdNrqdENNAVZjLF8z6BWaZM3Aw4ZSNuwXWJfLiybtcjlcMY2I53aFWkOzELhKZa2VqlaPB6wLzycm/MUBuxlwbi8KcnV4rFjbTjm2Z+c8I8i6arpFux9LOnGZQy6g1qJnSMim6QSVIv+mvN5ldc52zWMVMURlJ0nuUbxA0lE1br9uiKO6O3EhxV4qUzXSz0Fqh2YrK6lp0yey7yHXy2OZcMrMF5iJM2e/FqBG1RBeFfZrYpyN98FP3XH3Iuy/Cagrmpxwvdai0Wjc0wSMOrKnLG6UjhH7ji8oPersBX5WFG8+zvTvMHI4ztTip+BA69WW5mIfnymYl97oozduAshp1hjb7l0rFw6r8NYMEkgTpDA2Bko1WXG8dO93st0JsiaQXUCvLOnM+FeaDQh1BMhLK1rEIS27MxdPmHmR/dRHu7oxuhGLC3clg9dVZBGqApfdmdDb1ijXvxxTlMa4yfo3kgLX4ZC3CY9ZE3jT1Qb2sN6uxFFiacj7DZ28atx9CTkLolUJDNUC1bTNsFIU++H7bVFiCMHeN714WDs+FXecxvccs1AGIHrG7Hhp967i86GhZsaosOROoSBNKScxL4jhXFjvTpGNsjV3a0/Bi3tIqq030BpckqkaKCWurHGvmkFduzxNTaqwJlk4oo2AFJAudJg/6b5UY3VR2EuO3R7h+JnywE64ypO9Auu+gdqznRinmZcezy+NiB7UzTAVbDDsZZTqjwz263NDmM+179zy9vyfkifXmnje/tVKXSrkAfSqEvVIvLlg7Y64HDm3hVOBgMJlxrsJxNrraczlckfrRzXD1jiehsRdIKMV6VGAKC2vxWr7FjJM3xHmvqsGrBq/PXrTwwZNL92dEsJAgPKG2HanbkYYrLBvTHHCnXCGXgoZIYkAlEWTALCIte5KiFcLWWYpEGpEmWxSvmUs/mR2BNWXzMHurEQWrhVwXassY7poUKSCNqMIuJi5CpBcjkIHFp0UV1raCBEKDMTYu+5Unw5GLbiUilK0aLthMkQ7LgrLShUxQVywtJqw10OiR5mXHIgNBRgLdNvn88KntK7Fwm3lg+s3tiXWtjnA0/AmvzcksgbLYdlxygb2GiElk1w90unJ3EErbcnhF0OY43OO0rUCyLfhdNmG+gLrwv6xGF3rUvC3bEOZzY5rUeytb25xRvguHJMzzQycePFQs5Wzc3fsUY+aM67BxEjEKazEOt96ZuOtBgx+Z58mNuKHBeuJRYvhVvwzvfNTqztfHkuAtEMgU1qwcZuP+rNzewKuPjbtTIF5BvvKJMGtz6zNsLgZhEqOIEIGiwikJN33l9r3A/l0Ya4ZZ+fSmcTqCBWGdoRyhS4qOAWueB1KXRiQwSI/SIVI5nl9SdHVnrg5UawQprOXENB3obEdMF5h6ga2qOaFiRsuBtUI2LyruklF2PkDEGOhTpLUFMc/YDskF7G0Qjs8gv/DXu0dJn3eO3Z4jxZVxnsWjoCOwM1o0ihhlFfLciHJPuvkcOUbKF0d2eoLTifj5mfl+2zwTpBdKe7bjRncc28xiM/e1clOEecuFPq+QZ+GD7hlXcUdSoeYbUnvNqI2rIGgxcjO6OHJTm4dqPfAZ26JdgFWMVaAEZdeNPNtfM/aRpsIqJ+5X8/q2GLb3vssS1/VEsEKwSrVEbS6Lkyq4HXkhqAd5hZBoNfjETSJK2sxcBVrxfkya53abS3azFUo9UWym2IwLUJ04NCDIjj49ZZ+uGKMROUJ7RWAlly20DiWwIzKQ1Oh0opOVzlxto9qozUPMej0RorKLmX3KBGksGe4tclciU3FJokY3jdkWgaDbhvTDrq/Ewg1OC5U5Y8V8YjGfTh/q6+1LfYYiLiNCAxICXR+QtXkmSQuYbY3VsBEq8lhQIGpvd+tNv+ZNFT0dO6L13jG3LpScqWujrB7G3swzmc9no64ubStmLKtRNnvsQ3aBFahb+XDfKyE7K9+FjmVZ0WBQhDobC8a8wHwErUanENUniK/DtVa4m3wyjl1wDHGrccrNaGfl9g28/My4fWXMR/GJ9EK4OBl2bdjOaEHZ4l5Q80yYGhqmwir+51M0vrhU5Pmeq53R2sTruaArHiEghiwgR2ijbfEFSqlKW5V9v2McntKxQ2TgVf/aG1ZCR5AekQSyuEp/K/9UCwQSKpEQk7eZVNAY6Mcdeb0Hc0dmTEYYhXFMxC6w1u3EiIedpQSpN8oevtMbe1XGF41UA/VgZPuddVgt4TfUEwgjSOeDwpShtzOpfUG+9xjU/bAidaGePcq0pkZ6qvBceX35lG/frdzpPUeZOQErDivNGU5nn7a/+c67XHSJkGBePifKTC/CGLxTtWiHhAuirST89PhA6+bm3FLdNMzvX418sP+ID3YfcLEXqiZO0/eZykTQQikG5UCrZ5rNLOWWwEJCUB3ItaD4pJpCh6YFCROVmUYHjN7vSESs8wxsa9S2EGxxWaCBNqHVQqCiFKgrQkVVfbhoBSER4zVJ3iUwAtnxfHntOf4rLKugeoWG53RxIIWCsGLb5hweWnWqYdWITOw6uIhCH1wuqyrkWJhDdlcmkSidV7W1wja6bZG8P/j6yizcVlwB4mXBm7YzbC4j+50KhQfOUWLAtNJsYp5mlhXy7EHsGuURXgkqaGgbtg2hui5zmR2T7XtlDAM911CEdT1Tq0KNWDVKMTT0nh9QM+vk5aHD3t9gtYI1JdA2Mb1j6tIc7ujUp60x9CTZUQ8VTcVvtCLkRTjcNeaDZx9c7oT+4uujKnm1Cv/Ty4Ef+/B9fvz5e0yvvsM8fZ/OlPkz4fNfN16/MkqOJIxejEEEK5V69MoqexL46X/6XV4833P7yQ3f/cU3zDcVEZh9JSf3Cf19P8bTb15xvDixts9Z5sjdfSZkjy8oQKq+ebe10EpBrPMShQp1Fxj7Ky66JxAGLk6vWU7G2O8Zovcmms0grkuODATpUIl03UBKyc0aQQhRSSkha4BcnBAXSJ1wcRXpusD5XrAqTtJihMGjg2sSXhrsq3ExwHv7yrKszJrJ22mxAQy+eOtTiDucL9mS69Ylw3JPPgGaGMbMmpq3PwWDC2V8Hjgl5W/d3/Lrc+NVnDlTH3MjlircnyGf4RvdNe/sLhl7MD0zl1sixeE7jBjcsDKT6UNiiD1WFlfgiOudkYqqx+i+v3vON3YveHp5ydXFyFQi0/IZy3Jk5chsN6QUvMKsTT4J14WKEkS8zisIKgZhpqQTVQ8YM2oDQZ5iVTa4kU1AfcTs3hcROqyNHvuKobxtfVeJ0BSpvvEEGUlyBaWnqFKto8gFjT3n5Z7jYiwlEdM1tCtaiRTJ1LBjXg90VE96rMphhdPqiX+9NLR5aYYjBZ653qXAQo+RtkXaT+fuBmm/w9Tz97q+Ggu3bcQc24vQ/LiNbFVeun1shKUoaKd0XXTm3lamXKgr5MmBf92CuL0VurmmdCvtbLkyr5W1GGkUdoPQ4e8UkYCKl6vahl03c8mY4hng53Nldx24eg9Od8ay+u94GJG/HLak239XoAUnN6bsMa7navQFQvZc77W5zrmoEzz1awKVzMX43rrnMv0kHzz5Fm+OgU9fvWRXjfX7jS8+B8uKaKMTIY0d3/qHn/Pq41e0s9F3ws//mW/xx378zGdffMb1fuTX/tcL/vJ/eWS6UY/QNCH91Id88Mf+MNOQeHn+jG9/fsunX9xyf98ImxzRicftFGVGKYVSFUplbpnj7AqBGAfGQRn6J4wl06eBPiRSgFwPGGzBq0o18ZtHlSZupqhqZDLH5czhXN1N2G9xBsHYX/jjraUSmp+iTKAXVz2IGXMRPs7wXjW+mRZavCdrJuO6ZgLIhSCDEa+8Rk2Qx5CjskApK5YTXYJeKlGMOQA7o/sIytPCd6fIX3tzz69UY+2EbvCfhQhL9damuEY+eP6CMQoWVu7mzziWW4I7o9iZkGg0uwcdCRpI2rHIgkpAw/BYHGxhIbTGfthxub/iyfUzdkNHPS0oHVoN6olaE1F7jInWzkD1Htja6KTQ60gVY9Z7TCZaWLFgBGnEnAkhg0xYzZjduy1eTsDZy8fZgxnBesRc4fMQWvRQ+hEYiNIDrujAIqUlZolMppyXgdPUb8qTPZ1eorbDmjAXpcqe+5p4dS4bHGOsLSAy0EehK9OjAce7NI2lCNnSZtJpTpBawwj+d/xSKuEPur4aC/cGNYvJJqizxwblpF7kq7oZV4JCNOIuEIK5BL9W1rVRZoOsSDD6Xtw1GQzqJnQPIFFYZjwruIOnT+DZpdLRrAXhgQAAIABJREFUqGV5zAUWjLyuzIsxrwFGdet9bsxrowsB64Q4CCFtx/Pg8kFNrgLY7RRplZwdR3ToxVgzrDO8vhdKE/bRlScdG7kZjHOxR2vsV/0yoKow7PZUE6TfU1DHvbfAoEWhQ4ij8HP/5j/Ov/dn3+W//Yv/C7/0N1/zL/2TH/LP/IlPWH/9hvcuI7vryO/7pzo0vMsv/OefshyMuY988FMf8eT9F1x1keX1xOm3CodDQfND6wmPO6YGN3LRoJWKaWWtldN85DRPXA0FQenC6KSQDltMp6ItIEFY2syqhZVGscbaMlIaS81MeeLmcMOrN2/IayEmuIhKFwzrjH0/Ewz2wIsRrkchjTDHbXcxl5neZXiZ4Y0u7FNh6RvLDCIbqdsJaTS6vRNvrXqSnmShHLyVZuguGLtALhmsUncwXAn6RHjTlL82FX75ZHz7DN3eeCLCCKxFqKVBgWf9jmdDIoSVKd9xOH2H0s6sRaE09h0krWhoNBGQhFE2OMHx9KDCuimJogRSSPTdyNhfbFnWicCeJHs6i3QKtIVcb7F6QPAC7mpwroUQTtRwQGKF1LBoxCB0VfGzW9w6MheEDG0Cm4ECFmibOsVMEHzTrVSatLdppJvSRIBaM0VWgg2IBUptLDXSZO+vB9dEuXZTDu4JWdbEnJVSNpeBqsMoOhCssdaFU8NjMUQ4lsbtIszWqLIg1C1mtmHijwnb1DA/5PpKLNyiEAehlop2gqhSVn82RSF0Rtq59a5WX9RDFPK60DIUzX4UEtc/avAORxWQFeripGFUT4hbPK6X/RU8fwKXndFrpcz3nHIl10prsM6VwxkOa2TfeeNFyZW24eZ5fXvkfAxKj+alD5dKlxoU5f7gOHhEWJfCWrz5xI5G18P1IPQRpsYW+YifFr4uKVMC2kX2FxeobOSk+gbcdwmNlZYrhMAf/Zf/BH/mP/3X6cN/xd3tmd/7+/8Af/j3XhDbL4EJnVRONzPDO3+Q3/9zEz/xV274m3/9xDoUTt2ZQz2RGHl5/B7H+daDpLbgnmrb67xt0Cmob/zFaBEwWJYzx+mOU3fYChQ8LTJnL6FeSwPxzb/YzFSODASmEJGSMVamMnFzPPHy1Utqzlv8qHGVPHc9DHDVFS5C5SefwjNgnxolCm8EXkd/0zc8kOyzIrys8FxgSVAHN2uZAp0x7KHbKULbEvkEZqOdGuMwsOt3dBdKm8/UcaX/hh/HXyP8lWPjbyDcVpizuYW+h4J45d7qA8N7F4nejizWmObPWeo94ORoAZp5no8fa1yKqOZdiWutHimrRi0NkUYfB5JE55MQ1rVQSySGSyoHYhiIsWNp9yzluNnGvVvEItS+cU4zaw/a485mETqMVJRUR0wi3rLUwDJmLm0Rc0NVQzdFmqHSqFJo6jklbXNXbmlnlDrRWqXZgrGgIVLsTJNKDHsnI+USWsJEqOrxzmtbWGrZyE0hhuCiCUsstWH0zGa8Xiq1OTRV1E0p1epmNqzb8Nq29MGeFLsf+pb7SizcIcLlU7h/I6Qk9Em5f+0tH2kU9s9gdw0y+uSqTVln49XnjdIKnXpWd4hbtnOAFNUZ5R4WGqF7eJGMYp75/c5l4IP9SB8itVTKOtPWQs3GaRYOB2OalRJgqEaTTCnG0CW++e4153zL8VTcECSOqetWLvvYAmObIaSI464Ff506L4fYD9Anv5FWs802723PG7361b9E6PqBqNFPSg4aeoFAMkpqaG6885Pv8+/+J/8+F08/Yz3e8f7Pfsi/8K/8s8Tj/0A+CHJUyrlx1sqLn/mQvP5fvPczQvlFyE8bn66/yfT5Qg7Kd179BqVlf+6tYVtLTZecK6EKSZUoDnHV4gvltMzcn2646J4ypJ4gmSjGss6ehtdBjAVRdfOMnTiXQO+DJ5CZ8sz9+cSyLJ7b0fnCctUbQ/QAsaGvvNvDh6NwHYUQGlP2VvuTGvdiBPNJ6/MGHxchWKOMDudV3azlg9FfCf0IRWHNwoDjb6MIFzGQLka4UtBA2ykhNaYi/PW7xl8xeDl4cTIKJcN5cWPUeW20Fd4fhMs00QLcLq855wOdNO943fLxizbW6hxMs4Y2GDRQTVwOKwU00NtIy0rHSK2RXGBZMqUsrC3TKigdFpSJlcVWz+/R6HLZrjlENAIjZI8joQNiM8YCXUnQIoLrT6XJFvS2NaSTsBb9g7elvm0rttUHY4y2bdFvUCcqBxY7Uuwe0d4LmdVz1qPsCdJT6zbY2UrhnqXeYuQtilUJIRI0bL+1Yy5Qq0fSYeanlc26jxWKLZitWzu8JxfGNHpK6g+5vhILt0YYrpTjvTEOifff32PlyP3twm6nvPMODFeNKsIgcDEKn76G16+EPFcYI0E8tMjMm96DJqQ2BCOF7QYUpeZAzZlhgKdj4EICnURqVIKBtEZdGy0Ly9mYJiNeBEotIIVmjWfXl+z6a+5vTqynB5G5bfkS24SCa8T7oPQRWhRKdeLIhMcuwwIci5Cb42OD4kFXol8bjBsRhmHwm1UaL56MfLHvuSkrZVyJ7wf0HPj5f/tf/X+pe5NY3bIsv+u3dnPO+brbvBd9ZlZlQzV2lavAwhaNZFGyBAghMcLFzANLniAxtRkwQbJUIxhTAwQTCzyx7AkYYwSeFHYVgsJUlYusrIyMePEi4jW3+e7XnHP23msxWOe+SIvKzLJsRMSRnl733Xu/5px91l7r///9+elvfYC1v0fo3uff/tU/w5OnG84fGtN9IYXGOAv9dkU3jFR5wXvfNvIvwulauO9ec3u68xTw2ZUrVvEIOfOkoRxlmYMEupRBA1qUqsKMULVyt79l198iwxZ0YsiVMlemSdFNj8iCSRDzYVlQplq9ImPmNJ/Yj0csuLRUg6uJumRsEgx9IESlD0InxpCNYSXI2UhL+pEuIRoahIMZnza4VGOIIJ04rjgLcWts3g5sV4HbB2Ua/Wa+6iBeRrpNQq462CXaOXJCuTf4cIz8dw+N72cgCkUD0tqy63D3ainGBll2CmdGRvbnZefSuWTWs0McUxDFnb+zBULIDJKYigcPRDGG2CNyjdXGXJWH88xtesDowJSpnTlPMzklWoqozJ5kEx0VGAS6ID5Y7YXaeRGQBXqDVYOuRXLzqDZ9RKGKBypEHH3g1KLOTVbNQBwCFaIv0rbITVz4UBFtCBNmirZCk5FgG2K4pAuDs9ttcLWHNWCiyQNFX1HtHpPmgcfwRjnxeA5J9CU2hc4HuGo+JpUA6sRKt8br0qozBPvnljn5/+lhQMhCSMpmO/DuO0+oZ+FwPy0TaqPPXo1f9t73fkHEqMxzo4yJNjuAHXXTQi1GskCrlRQDXSfEGLi9b7QJ8hpoFdVC7Hq6lIkxUmrjQUfKpNQZF9unQCkTFioNZXWxZpoK8+gVn3c2PDW8nASaK0q0Ap15BbhIUSVDMKermQnHGablwpAGaeVQqnFSyleD6ooEoe86Wq2YwdU20Q2B8WCE91c8+fY1b8cr/p1f/bcI8pyiL0jdX+D9D77J6bP/irD/hDIVakzYdkutM23+jCxH3v564uqXEidxU4qkxtCELvl8oBqcqlGDkIdlcK2uOOpyB+qYhLkaRZYb5QIKyyHQrDC2kakVHxoGcwceigQlx57NsGOVLuhzdF3qeM/DyairI5KE2maWDS8pCqHzcKtzgSn5DTkZnFV4mOFBocRF1y1GCfCpGW8ZvBv9PBfxYXYYjMt3NmxWKx7KnRtH8B52vIrYtsfezpjM7Cm8Wq/5QVzzD0bh/6yvOAvkYpzqIgAorlaZo5+zQ3QBWjUYR+U4B3InVJT0aHwSmGyp2KNQLBLSjqTJnXPMdLJmFa5Bdkxx5NXhJYdxppE4TYUoUOxIKfdcbiIq4qhdKrOdkVjIne+c5whTfASz+Wxk3YyVBnLLJOvdTq6KSXWVyELXEwlvCoiijvBVoLRKlEoQZ40EMaT5ANsTmvwCtdB775weocfolqHhEoItlSp3TPo5Y71DaQtzfkm30UaTgiyDxxAiXejpw4Yce0crNM8GVVUkRkLQhWMk3r4LDqf6cceXY+E24JH6Zo0cK9tdICRhnhrzCKu1p7xHEbT1lNF8q1HUp+uTudkGQyu0ORBD8DSN6O0XMdDq8WFmQtVEJaOWPSBjYQTU5rrNuYL0AlFptfo+cZnqT+NMWm4qBHdMOXzdT4FefK3WaojKG/emRJd05Qjh0fwwwqk44Grq3eo8jV+hhRvv7ZV6otWBajMFJcXAk8v3ePfqp/lXfuHP8P57T2n6txB5goRfgvF3aa9+Azkf0AJHKut3PkCffczpk++yCjOrXtlcR+QkrFPhp58OvLu7Yrwd+O39J0wPE/cPvntxkmbAQiNm6LtEq+bZjkuVFSKYTkzTiam/oNDYTyOvDq+5vgzEvqfvM2X2i6/PPdt+y/XqCdv1hiFvmFvg7as7Xj285vb0ipvDc7QdKAtrRpPLiI7FeBGFuUbs0Hg5wstJGJPnLE4Ld7lhvBbjM4SdwDY52aLrjSdPA7sna0K4xOIBaxMtCGFncCnYRUfolPEOnvENXr/1be7nLR8+/D739TWKMUcfxlsRx/kUg14ZOhiyV4djgbF6vF5KC0favGVTlllTbQ4JA8+qNJyGKGT6eE0OO5p1THri04cjRQpHq1zle3IISDizzo2tbJgtfsHiLoXQNboeWhJm/GfH4DfCDqNTyLUjc0mUFdXck4H6bCtER6RifiGaBSwERCJz8+u2NW+YSFAnA1rANJIkYaEs1X+HSo/EnhASTY3kmBFUG0XvmfUzpnZPQ99k2xqOm1Y1YlBaK8RkREnksGaTd+QwoAojI2M9+SBbkjNgFi5SjBkJ0UmCP+b4Uizc3psMmClTKcw6kTol50CdGm0MtJMxCugCkRknRdS3G63gle/yWlVgLo3U+fACjBTVdaaLu7EB+6JcSWSThRx1GTwaRqS2RmtGl9ISsbRI/qIytpFSC5M2Jz8Gf+6Bx5w8QTx5eFGT+M3EEIhG3yvDAKkTUufZe3MTpmocZocltUmoP5qj/qU6zIzzPHJ/2rNeNVb1RNVCyj1Df03Ol/xLv/DzJLll1j8gxn8VsT31/u8SD58wN/H3W4XD7Ws2b3/A+dM/YPV+9IUlzSSL/MVf+Sa/8p3CoJWbl2v+4Bd/kV/7L3+bw7Exa1v0820ZFAuCp4KDE9dM3ADTZXtzUZkkVCIP5wOX106Ry/2AtIIFEEn03YqL9QXbzYah2xBC5uriinfLT/Fif8ezVx9ys/8Ik+do8iFbFyNWlY+Pxv99VKYiJFtxsbpgLUeO9cg4KikHdKm6PwrGLgS+g7FbwdU1vPsEAgce9pVpmsgCNRv2ROD9REhC2Ssfnd7hB+mbnJ5+i7vbO/bT7zkXxn4IuFZAZsOSkLNxnfE2iQS0eQUrVHJwymZT5/ZY8HlFNSNoRliTUuSsE7OZ53biONJJJ+7PN5zaTAvGzXgDtmfdZZIVhiEz6pkhr8ldh8lEl1yVk7JQg1AXD0QQSBhJhVwjsV2R8xYJAbVKtOAgKTHMnPAnDutHxN+buarvnkTdnNOMJNlpkEtobwyDD51kQqOQU3ZgfnAMlF//6v/PnmYH1HzR5pE5gr2JRhQCEh00F8QxwolAVEOaETEfRErz8OIQiTEuVM3HNsqPv+a+FAu3mAduShPGU2GsM3EIXsku+MhSQA/G1Amhmxgn7wUhzr1GA6aPUBKj1MqcA9trYbtWUmdMh0Y1IQ7G6kII6wabA8OTRgfUwwy9MrfINOqSmBLIXaZJo1jDgjHOI6KFubhSxcQli2LO7EhxIeAJaPKsTCuBUhvZ+f8kD65GBHLnIbntBOMIUgwp/6Tp6Mt8NFU+f/0CC4Xt5h02q8m3piSsBao23n17A9zB/BK6Gau/RX31m1CqK3ia39zK3ef01x/QXvbUaWbXKZsY+Zn3n/DnfnFHuv+Y0+09D69f8O0Pfok//XMrPj8duT0DGWLnYQlRqzMtiKiJ3+RlAR1lo4+Rvh9YhczFeI2FhMYCUhbZmLorlkoNBYsOaepXngo/AENVcs4MOXO3uSC1pxA+ZOQOa96T3VfhWTGg4089+QZvDW9ROHEYv8tZDnRLpWUJXiQjNOUiBK57pV8HSjM+//TIy5ujh+JeQN6AXAZIynQIfO/mHX7n9E0OVz9Ls4FzfcVhPnqLzuxNBiLNlSopGbteuBwi6z4RLVMMqOcF7GRvXMqW3PFpJt6GbEsqfZ05jGdyHFiltbdb9MDDeOAw32MYmxy56pSrVWPdqVeRodJkooWJHHtMj3SDkjJOf2z2JnLMDB8+14iVNY1Mjd4HDtKzCj1ivj0wS5idXV0WkhMFFbQVZrz15QEZS2gBS1G3SJEJQo6JlpSYyhsiofsXG03OmJzAzog2v3YXybLpYk5aghBCyMTgPO5ovvijlabq5EA9o3qgMfvjxXv2YsFfh3xFsK4CxAZRA6VWbu4fXO9cK1RhmgPd1MhLBVtG5XhWiJGYobZGChGjuYZ75c7IohNP3tnw5EopbeZwbhQxhgu4fMt47x14553CepjRMXgeZRQOJ+M8KpCcr425QF504W7MZN98o2JO+7KFDbPo0R+TOHIKtGBMsy49b5f41Wqe6G4gafnaybkXLDuIrwqrBDNe39xwHPd846lwHgtzq6hlpjLSZ+PqcgX2A5h/QJn/Pp2tafev0Ga05jfo0nxwd3j5ktiM+QirJPzZn7/ml3/mLeyT38NqI/aBsHqLq7fP/PyfMH7rIyGehWPzEIsokJqQNUAN1OJC48c5SghKTpHNMNDnNWMpdGnF4TxxKIGhuE29KNzXI5+fnhOjUEOlBWG7zvTd4FFe1mi6Yghvk9gRwiXPp3/EfnxNnYR9UWaDbZ+5urhm2z3lUHrO94HRgKzkACU4h+x7KtwX5ZOT8O17Y/cg1Ht35D55Kmw6Q7NwOiuv95GP9l/jE/sTjJuv02+umfcnztPEcRy/OH8WxCrqM5ahh20PfRfIMaMtUKqD/ruwJEyxqFsUP48RVI2qjWIPzCqUkunTliSZKEqtB07lgbM6b2jTwZM1XA1KlwPVokeCpYZFd0pKaEgUSEZVKNhiBWehlYHWSGkdMRZSUIZ+TZ+37p60DmuC1kJtR6AsQbuBECI5dvSaCaGjkTFx2WBYoPiLBYawSPFSTsTkVbCrVAQxl/6ZzaTQiMvMQojLoDPSxxV9Wjk6IURSTC4P1uCKF6K/f22mtAPNHkhRyBIRqz4jqeqpQEuk3487vhQLt28nAik0pkl49cJXLYUlIUXZXgUkGxqE06kxVYhZySkw3atblXEJ1Wq3gIaqQjBW64GuZSQdsVQZLiLrnbK7ENYrIYQGCaQ38iawuoDwErQpIhU1ceB69NLF0zB0sR77LTuKUJZJZUPexDGJUx2xZn73bt6P16U1EpvzuU2BCWIUVqvEPH1FGtzLYbMx1ZnWRo7jmVqMVpQzD1xeJPo+Qtsj4xEZv0spYOeDV9nFed61LbjXz54RorHtE08vlD//rTPjw+8zXHWk3c9h3Z/m23/yAuN/R+ILLjcVcoPZUDFQyDHQWya1xKhKJtO6iMS2SLMaq75j028Zi7Lr3uKzV/dcXQi9sfTFYZxnXttzjDtup2dsH97mye4bvH39NVZ544P1GOhzog8dxXZE3SJaiLJD9R7VIzEaGgpzmLiZ7nl5GGEDNQmdOtflpE6TfFHgoznyp9LAUIzp/sjTK+Gd2Xg6CeGVMN0Zx2nL6uI77J5+k8v1E4oFpvbAYTwzTcdl9cV7h4scMGToh0iKC7fDvPcLjT4ZXYQ++0CvvVFg8GY+EMzDu2sLJFnRy5qLbk2Se852pOpMMw89CUFZd4FVCnRdDyHQ7ERIFYn66HSj2SKH5QvTWS+wAnrzbWuVRIsjJQqroSelyMCGqBtEO+o8cp6NUvYojlrWFpwflGYSMzkYMfbOrTH3g7TWUCtE8cIwSfaKfOEdgb5J0zHJTOa89kEySqYtMLQsPV1aLUENHrLgF7W3AY2zm66auyRzTKQopEW5ZKIocblRhp9ovvtSLNxmxliMooqpMM3qAcB4pVDVzQI6GXkZkjR8eLFdG/VhkfoE3yrvLmDKxs2NU+v61SV1alg4L2YZr8yIDvUJDRBllsQnN8q+gEZADekqGoBaETViWwJnNUBxuH9Kwfsey7uppkj0kzDicVj+EYIzCTxQpc5+TbXiaAVt0F8lVp1X7PGrwnVdFoggIFo4nmfmakzTzDy/5nKXyUGw+hqZjtjNA1JcVdCaD4xrY7E7++JrDU6Tcp2NVM5snr5Ffu9XkdUvY/VTtP0up4cbvvthoQuNVYKtCOMS690hdAQ0Z7Q1NqJ0XaZIYa5Q2hHRQD+s2LXK29u3+PizD/n8M2UTnZFeFQ7F6KSxqxM1PPCgjVJOHM+v6fMFOa2JsiJJoE/CbBURYRsv0HjFKkYGGgnl5vSc/fklz/b3vD4XUvVdQsyyrKvm4bEJsMAsK0ostI1wWhkvc+D56DmOXR95e/Meb119wO7JEzStOe1H5lI5nu+ZSvnCSNp80SY9DnG96IgIojNJArnrXZIXG13oaFbciBIWjTQg0dtZfUys0obEe1xt3+JqmzlPhfs5Ms/O5lll7/yCF1UpRkLqHOgUFWSpLsGRAksohSdDCX2ArEbQSK2GhAMxnEkhQdiQgodaxOYTzskKU91T2w1QaKaUVp3GGNwfMeQVMWZKCdQ2u7qD6uaf1ojRb9ioLgqViSAVMc+ANFXQSA6eiqNEd3WKEqPQ2kj8J9o3XtQ1a4zlAVfPR7q4IqWOKA0xN/0UragMmORFUvgVqLhbg8NJ3/S1tC0wHfGXOs5wf1A2IkgOSxBtIyXlYpc49a4cCL2x2wmblZEF7u7dGZa7Kwe08wpjRlU4nY3Xe09033UuG3q5F17eGRain1zNp8W1FEA8kaS50L7M1Z9n57xfq9VlfsHbI5WG4WqT2vxDdIi8E8LUPLFa1RepdnZzRBuMMATWQ6bvvhQfz08+HnuRCcxmTtPE3OA8N6Se2a1WCDdYuUMmJZwn5tHAlu13gVrEq1wvmGkm7E+NdzQRN++Q3/9PYPUvIvNH3N/8b6zsd/jeJ8qzT04kreQIw1JtK9ARicXLlpwCseuoXc+JiVoq03hgKgdC+BqbYcfTy2u6MHD/6sCzLGy3wliMg/tKeELgSiJoI2hhnm45nm6oTQhxw9DtaJsdJb1EbGIVnnCyRLbEwAD1yN3pFcWUZwfl9WjIKdBO3irbZHiyEdadywQHM5oqxky3NeJOOAWHaIVFOy59T95sSMOac43MpTJNI8fTHjN3dM76SOVYpJKCFyDBF/CUIMc1MWxdGSWVTiIqI1C8AKlKQQgGkY7t5h0yF1yufoqnT95CgvH8fuTFw8eUBheD0DU/LyrQQiFI9hxHCURxWuJcvfBx/TKwKIPC0p4QC7QKVmekU4r57KG0A5Ymgri+sdQTU3vBZJ8zhhtEPK1mXqSCfQys0kCXeyLLzgEwawRRsEywNdJckG9WqJwIoRFl5TpwU1QrUQYIPW2RHYo2CIUYFajUpsSUffG24ENL3NdhBilkUl5uPMFcJURzwmBwiSYS+UmBs1+KlaE1GI+uIMEcRB8RUhKKGPNs5OZbJ1vu0qmDrjM2K1iv3eUYOyHmQJdAxbm2p6OzQUwjzRL9EEjZOI3G/FJ4eetRYToat7eVaoLEBW619Nsa3sJQgxwjMSTKUlmF4C+gzW1JkpZl4eFNu6SJy79SB0MvNPEBUMTDFLS59jgY0ISYOq52G/q+///tM/mnOpZzLGYwmRingioO35obl5cDyjNEP8FKxRb8ZzBoTZiXlHcPXvhih38a4Vh6Lnb/LqH/c6i+YNz/Q+rz32Bajfz2/7WlTRELlRRcPQKGWCDSkdKAaXTw0wAxdcw1oA1KGTmNd1Rt5K7nYnvJathwe3PkxQvjuLDzVR17WhcCnYh4BSmZooVSjsyn19xbZS7X9JtbnvSNbG/Rkegt0mukTsZdbdxV4/kBxiZINabqu8jdTugFelGGCOsAzU6MZUZ7OOAV7JCFnIyGMuqJSQtjmZnmSJ0b53nkeD6wHXqkTxzPhYdDdQ9BZFFrBFJSUjaGvqMLW8zWSFjOyyCkmKj14PTNxQGcw8DF+l1W8Snr/BbvvftNttsdUztz8+nEZ/uZzUrYZSMl4Tz6DVhFqToSm0Eoi+zXmJuH/ETcUJSi+OLVXGM9jQZzJPm2wY02zZjLiZL3TLIGHTmVPUd7yYPcMMm0pPx4y7I3j82LUb1VYkKU7EwXa4TFxpxlTbaeoEKzI63t0XDytJuYnWVSbcm0XHj+CyBHxFUrLuc2f61h9UPiAiWE3mPK4lJVywK6ioZqQlvxenzJn/xJe+0/1sItIh/iEXMNqGb2L4vIE+C/Bb4JfAj8BTO7XR7/HwN/aXn8f2Rmf+fHff/WYNwr+ohzVQjmbAYCb2h71YxSFylg55VHjrDbCPt7wyzwsFfae8kNDKUxHo2H00wIgXOp5GxEAmVy0FMzYa9Qzoosin9FFwG9UZsSuh6Rxmaz4mKzoU4Hb32Yf3iL2ZFZod9Av1G64MGxlj25pB6Vrg8eW9W8LHxEv9J8ONkqHI+Va0ushgviT4Cpf2mOADJAGozWZh/ENjjPECrsNhmxB6hHQvMLCpZltgm1LrsSXXZcy3+WCodD47pvVPlH2MP/wfGjv8N8fM3tYc3H34Mcn1LbDcrZuRQNpGVyviTJbll8Zyw3YuoWgh1Uq5ynPaVM5KFnt9qy3Vxy+/ol9WScMMJ60TOLOFvEjD5k53svcjk1Q3VG25HSGms7kTVh5URoSkdjRabowMN85HBW7k6+69pFYdcZ16vIpoe1NbJBH4RBGqqNUX0XktXYJCFFr5abGqf5jv3plpDfxmxNmSZO4wmtxnvb90givEr3HKf3NgZJAAAgAElEQVSXaAbJXtmmDrreHZ6rbk2wFdUyESGHREoRUsex3dDsjAToLHHVv8OWd+m7a64uv8bu8op+teL29QMfvXjJ7UMjBlh3snDz/XMdK8RYySgpGKV5uv1YPcBhE7zXm6IXMFqMNkE5BUINhNB82O8dFsxmjvNzZjnRWuRoJx7s4IxrEYriXW71nXdQCM0Iksgy+NZQEtVGos0gHlPXhexuVksu47UzQqFqRyARJPlatBgybNkpiHSk1AEzaoVWR6opQiY47B+PAknez9eKN3oKpTqtkrAmhN6t/zyqWX708U+zMvyKmb36ob//VeDvmdmvichfXf7+V0TkTwL/AfALwAfA/ygiP2v2YxTl5j3eiNDMY8taDZTqNnUP9/QQ0vuDcaiCdkKLyqweQ2ZWCRKos6NWxf05jIfGzc0J6Quzjmx3fvLXukzNm1FnN+SkTikVAktQcYBh6ImrAW0TV5eXbNaZ/X7PKge0BXLs6YLRitGssn0CV0+EVo15grzuICQ+PpyIySsKnd0l5Rhb78kGcT17Si5nQ8+LvPHLf4QA/QC5F6bSmGZDW6S1hmjgcrMjEilzQ6ouJCGAsPT7PaPTEbxeptjykLt9453jp3z6j/9zptsPGdIeo/GDl4H7u9USXHGgzq4WsIane+c1aoEQA50IZz1SrfkACNDo9EIz6FLHbrXhanfBsxiwpuiZZadkNDFmnZlZ6H/R3PUnDQlKiG7siLkw9I2oQpuPzqpuSqpOgFtpYmVGakoBdlvj/Uu46jyppUvLghdAkreQihkZbx+k6OfustFnmvfsD5/T5/dJITHXmdP5TBdXXK8viBiHNiOdZ37m4IlL68FYr4Q+J3IcwDK1RUIIHqbcZZpEUuhpdqaLcBkuuYhvk8MFm81TNrsnbC+vMJRXD3e8urlnmgI3ex92bLP306dqTC2QF1mLmiwBG37DbupuyZQhB4dvVYVaAtQVOWRiPD0OiFw6KcbIyKG+4Fw9Om1cXLGPwFZhWbAVonYEdkS9IudrH8hKT5KOHEZXzcTejTgIZh1CQK2BVKwVgiznmoCE9IYEmuJAlzbE5Bz3qg8YDy79Y/Lnqw3RhFlFaTRNTEDQgmpBQiLk3qtxAk0raj/exPHPUtL9e8C/sfz5vwb+Z+CvLP/+35jZBHxfRP4A+LPAb/zI72S+gBqLT0CFeT/TlnBmbcJ49KSVhtJdRiQrJcDdWV1B0nzBrwXuboxV9pbLXCufPP8M2TQ2O+VyE6mlefLHabk4KnQb8cqquhzq8d1JvZBycJ2xToznI6GbPQ28dew2OzJGa4U5OGCoHwwxYbUR3r18j7Epz56didlY96D4VDuLE8XGhQQnJuRO6bJPu8tXxIETgtu0gxjH0e3lLYCpy80u1k9RG+G0R8viYjQ3NJkGWvFed7M36/mblth4aHz0W3+fl58e6DaBce07tGcvMzVsCWFm0szsJE9iCOTUEUSYyhFSJuQem4xSZpo279fmgRid9S0S6HNgu9kSUqRN1af7s0ESWjDGVpkYWYcVJi7/DDHQ0aHqAKOQz4RktLERbVqg/ZUo+kg8oE/G9QD9NvLBlfHWYOz6NX1ItHLAYqMGl0aem9/jQvRIuBj9hm8LpWOeTuwfnrNKP8uqGyjnkeN4Yrfd8cH6CVM984d3H/qATo3Yw2YFu42xHiDGpTpBHBwlidWwYeh6xhYI0hFNuMgX7MJ7dGmHSE/qVmwut6wvttzd7bl7uGWcTpgap5N/rroR+uzts6LG1FydIj90nadgXKxg0y8OzkV4oAVokRwGupQQOTt8Lfiue1okikWUSbzFVhdk0CIEQWZBZgMVGh11usCGDVjGJJBCJMdIMlAbve1hC+skCMsJjElzsQGykDsNkYbQCPTEsCKFDTlkYLOYg8DqGbXZiYXmKibTRm2V2QKiQrDm7RPxxTpgSHhEKJx/7DX3x124DfgfxMkn/4WZ/Trwrpl9CmBmn4rIO8tjvwb8rz/0tc+Wf/uRh/eP3Ir+SPDzrEggeMtEZ3c+DRthSM56CLjs73wwdDIQ7zMfj0qLkVY8feTl85Grrwlf/6lEHxtT9OFJmY16WhLKV8szeYySJrglV1hE88o0z5RQiT10MbFbb7nabGjzke0WxrIMILMPYCSsub74Os9evyR0sNtGtr3gEEw/WVNnxFk4Hw1mCIsGtBbHjX4VDlWYRneCTrNrf33hNVZDz+XuLUQ/po4zbZLFFry4GfHeoZqzHt684gWOWIvxcHumNaEBpwellJ7PbtcUOmaOTG3GotvNYwSTmRYKFhS12TW5oaI2gVYSwiqvnencZrRNYMqqS+QUPaR3GbgSvFVR1J3iFgIhRcQSsQWKNDelRCNk7+u10mg60cTQ5JjiQCQnYTMY37yCflD6rAy5pw+JKBMtw7QoYxzJoAuOWEjBWyTAG1XSXBr7wy27fk+dEjf7e6bzmfev3+LdzRNeHm8ozWjF237dWtgNsFv5oilE1NIbFUMImS6vSKkn6Ey0FbvwHtfde/RcQ0iMdeIyZXa7a1LuGOvEcdy7dFYFzBhPsAe2q8BAY579Gq+dz4qSGF0yVj30a2G9hi77MLjMhtVItIEUBzDHxTqpELelK8RFdeE76yU5S51xHirYZEgJCCtKW1P6npITWT3ZCIuLpf5Mbe4YFYnO615kfLaI2QOGSFnK+OatPF2QkCRvp6nb1QMDIoWQZHlehaCTpzNVqJZcT16jt/Ti4Oav1jCbCLmBFdz4/6OPP+7C/a+b2fNlcf67IvKPf8xj/6i++v9rBRKRvwz8ZcA5ANW/1Jz48kO0LXVbJYuxQowsC2+kCfMonPbqSUXREIu0ZpwmN7yI+Ie6WQnblXNExhnqJLQxUI5t4X/rou9dLtrlVZhCa43WlPM4Ao1VMtYibDdr1utMSUo+24KONUQiIspm9ZSr3df57qevMGA1dKyHSJPKfjrRbYS4hjb6APM8wjwp8yxYrZT5q+HAUfUh66oZcxHAqw4SbDc9201HaydQYypCK8Y6spiU3CWm+sZv8aa/59emUWg0DZzOPkc4FuN7Lw/c14i2W0zO5G7RzIvSODHZPSoBz3qcaRwwOdMlJWmgC727KsvEdD4wzxNiM32fGI+AeT91oXH6LrABMZG7jmgD1oQ2F8qC6wzBEaOlKGYjhcIogTlkjzlLxkUn9MFvaq0F9mPBsofbHqpXkCkE8tKvj8mJfGnZpoPXFqVBbcqsZw7HG2ot/ODzl2gtvHf5lMthw4vjaw4PJ2z2XeQQhd1gDNmLHtVAw8MUTCIi4ozpYk4OTO+wjpmL9AQ14XZ8SbFKHga6fu2fyTjxcDpQ5sf3yhe80/mxAHLDjwRnsoTgP3/oYBhgu4Fh7QtybS6RpQT6sEE0AsX5QWbe/25+frTlItUGbfb1o1VvwzwGs1sVWloza8+cInML5BaIRO/vUQlmZINsiuqM58BP+L7Yq/AYglfaoaKUpc/dQHtKLS4NVCVZRiUAnQOptEKb0Dl4qIt6ATCbEVqEOSASyP0KzY3WJpATwc6k8M9h4Taz58vvL0Tkb+Ktj89F5P2l2n4feLE8/BnwjR/68q8Dz/+I7/nrwK8DhE5M25LuvWwHZRlS2qJrtceIE8MHTOoDsOkE5bwMtlxLtDiP3IH0uMXKyVdkE2EelekA88HQAmGlDoNaPk93nLlMr86K2UQzTwnXqvRbf8NTTHRpxuyAJJiKb3XGSYkBvvHeT7FZXbA/nCnNeDjPbIaVB+pOoAFygt5v5U5nuzOePztAhelnvxo97seJYjS3v6fglWntlMvrK1Z9IOiEkpBhBXVEzbNBZbm+TV3T/qgo8RoRr8TVFymd/Hx4+SD85sevkbTncl3ZrlyDm5MvEGObOZdXNItupiiGhEbXO3q3VUNswuxEmQ/sD8axnantwGpI3C8/3Csut3rXZtSlykshkaV3wl1hsVS7Brp5wQQYLdpisx4Jg5CGhgTjXIX70WCClRjF4Dj5JD8n2GaPLhPxv+fk7kqW9+RR814bxPjA7f5jXux7nr14zTff/im2qw1I4PXDnvvzyWmVCfosDJ23XGoBCgRV387HRKUxlTMp9qTYky2yjgOBgXN7ycP0fWK+JES3g2tVjucz96cjpaq3EswJilqgTFDSIu9bUmdK85bIVpYB6crzYQ8jjGcoZx+EGkBTRDrMBooVtCkxeWanK2Cys66L227bpJTZfRHS/Dw6a8NCoLdADYkq0V3QdabJTDBhJWuSZGYUa44YjUSS9W+SaMwa1hpKW85TZ+uYdqSghJBILS3DxeRB0zpD65yXo723bdqJipEsk/CkHTG3xrsR544QZv7o+veL4ycu3CKyAYKZPSx//jeB/xT428BfBH5t+f1vLV/yt4G/LiL/GT6c/BngH/6EH7IwBHyrJcsCrcrS18M/bfUXqKPDc5RAG/0kebO1CW5TVQGJbqdtuLRsKpEywsONMu2hTT75fjQqiHjsmC2ybRW3+GpriwB/2aKehfx0Q4qZ1m4obWQujpKlE+ZJGfod33jrX+AwV+72D2gR9sfCZgWESF1clzG6czN30PXe7z7eFawF2lekVYJASB77xWI+isHbWu++e0EXz1BG6C6Jl0bkM/Sw977k4jJVc0iPgm+5wd16wenKJm6IEQI/eJ345HYm5MKpCm9LZLdVOnFjVYqGhUaRRlChi4mUEhYS59I4W8W0gE6cx9c8tFec7EiVO3KvXrnXJURvuamUGcwSwvLLBdFUm6mtMnTe0rDiO8YqRhWF5DzubjCkC5xK4OXRF7VNEM4i3B0cMrXKwi7qkpruPoachS4aaQFnqTiEqTZHPDTbc3P6iE9eZ04TbNdrBGF/PvGHLz5hmvxk7gfvJ/dJlj6qokXJVOKSsVoZKTWQJYMaSTzF4DC95vX4PY7tJevU0VpBS6MROE0Tp2lEFzwqjzJY9TaXqd8F++StsLJUzSJC7iBkt7qfT3B8cLiaU/4KotHj5xaXYgyVpIJqI6aAWIdqh80b2lSYpyPnyTNGgygRBYE+rWmhxxsQzcfTbSYGpZOBHMPyuTbaYnVOkoghoTKj1KVfPXuvWswljRxp2ohhIsg1nW3Ji2vSWvO0oiKENqA6gC1CCwqOi84kC2Sat2pCZWZeWCz/7NFl7wJ/UzxGKwF/3cz+exH5TeBviMhfAj4C/n0AM/sdEfkbwO/iXcL/8McqSh4PlaVVsfgLlwHEYwUWJCIG8xlkbtTOAxPqtPTCxTXXIbppJyShFnlTue3vjNAp5WiMt1BOBiIuF2tfLBYhC0UVlUAMRj94qC9LFY6CFmHTvU2WgblOTBUOZ9/q5U7InfF09zarfsfvf/R7POxPWIGa4DRXUvLKo6jRm1dVASUn7wEWxe9aP4HJ+6U5ll1RTLIM7RzDG1eBX/jW+3Rpws4RS09Zv/8d5vF/YjrsPVBgaUst7URMXGkQEB5jpdT8RtzMh00f3Rvn5gqEUZVDES7UeLqDdfQEor4LdMFIrWOddgRJzCjNJs6xUJhpYWaqrzm1W87pANFInQdLW3ls1bmmuBZIYUCaD5JSEpoVqh6IodJ3iRjMYULLIEtpxAHyAF3nSTHHs3A+G6vFbPJiMl4ejaFfWN5AejShBKNLkMUHv0Gcq1HVWwsioFrYn1/xch/Y5XdJIXAeT3z86nOeffYMbUbMcL0TNn1zAJp54YDVZcjmV5nfqCq1Fpy0aJzqHXv9Afv6OQQjt5FSR2opVBPG6UxZorsMEFnae+Y8nrlBbUL3OC96LIrwgbwhTLMxjcLpYMhshFDpFnqeMtP0RAwQU6Ja9fNDFWFCLNHKGi092hqlHTkX5450oWMdt07lyissZaoojZnATDKhC5lVWIFFlJkhRoL1FBsducqEqlfAqs4UIfjn47mTMzC7Ygxf9NUapd4zTTdkjQRdY9bhdWWPoJ56Ezti6IihEWMlxkQfn0IMS8vl7kdecj9x4TazPwR++Y/499fAn/8RX/PXgL/2k7734yHh8SLhh/6AT4dtEbmHCE2Zz54+K1F8oSj2Zm9tj2wBPOyVwAIkF8oED6+Mejbq0W8MqWcJbsXTVFSQKIvUx7kOBMMWQLAWW7TbkT5foGYcS+XmPvD6RUOasF7Bdh14srvk5v6WT55/H50booYVOB28pzdNwN6Iy8ItzQ04Ad9ZNGk++/iKHN7OUiwYZOjW0DXh5376A8Qm6jyS+hU23yB65ypIc/7z48Lt7S7/fo+3LFXPR6wLwKtY5OW+0kzIwZNRbg+B/WTcHo13nwpPt8YQlBSEIWZ6GYis0DYSdEabUmKh2EjGqOFECSckCrkPxOQLyhtpovr2u7VAU6PWmZRGSj1Q24kuJ1Z9T6D5wDUYhAa9EQeHW9VmlMmloH0w1gkigeNsHIu8McsFcS47umiu4+O7IW9cpXWRTUp0RdR+PnE3wlubb2FVuH/Y84effp/721tfbDvvKXedEOIX9L0UlCTqwDQRch7oQ0ZMqTpzOt0xlpecuKGESo4BY6bpRK0TxYS5Th5oAMvu/jGYwJ/2PEGtS5BXsjfGtCg+o5pGmM6uGptOLAaYSglHUpoRLeRoBPMEeWcF4WY3q0S/TZIlYmnFXKvvVGJPly5Y9W8TuyvC0EMOVBvBKnG5wUJPSD2Yq0ya+k0tLlW12iJTFQWrmPngI4SOGAJGJsdrctoiocdMmeue0/QZpkeyXCGhI7AGM5IYQSeMQsiNGMUXcqqb72RNzAMavgLRZW5JM2/y6fLJCj7sqDhrO/sDWwNMiBqdCtaWwlTkiwVcPAZIFt00s9COyjh620k0IEnJg6t+avFeqjV7M5gM0RkShoEGgi10PxVMI1W99fHx58rrl5XTPVxf+yBmvUqMZebD59/jfvyc3DWmE8yTp83XVplPcN6DnmG7dkelzQbNK53FWfvVOMSHaBLs8WOjKEQVvvbO+1BPaBnJccP+2T9gmGfKMmUvVd/obmFpl6sPlQUWCZj/e8MYNbA/N4Yk/GvfeUoeZ/6Xj/acm3Bb4DwaD9eBJyvjejCGPGOhUMmMZeZUziiuUKoUZjXm2Kh4r7UfoF8F6sMPDYbNF97D+cR5JayyMM2VqdxjNhFDpksDHQGiEvozLR4JHUjyiDCrbh5TM/oUWOU10noSD8tQzM/VLsGQE2aRqY0efBx8tyHmSTVt2WFK8GSa26kxac/QDbT5zG2d+cGnH1PmivReGHSdvz7f2Sz98xzIGEGF3K3o84YcEk3heHrN/vycxpmzFvIqEoO6wksLrc3MClM5U1v9oiP7uMUVf9/KZB6Vps4WGhJ+gwyeA1qrcjoFzg9Km93oNDZlkpk+V4akrFMmGlhrfm0vLmbflBZCrQTr6FmxTa5BxzKd7OjkAtOISaTg9FF0orNC0kBVw7qEhI6okSSBJELTx/O5+ZzEOsTMWzcYkY4c1+S4QdgQZEUTmNqBU/mUagdcvFyJ2W9ISTxoWM1bbC0GLDsSulWwFknSg66/GinvCL49XfqKar64mnkfDsTTQuVRiQCYoW3JHQRkiQLDvoCaxyQEi77FKY9dGN+CpuT62KaGLTwHVa/uA37B9YObLbDogBkWDW0LPBwemOaRVy9nytG3sXklEGGuwuubO2p7RQgjOfgNIiwDT5sEmaGc4OFsxCsYnri0Rps/n9AbJZ15mF/7otV4E83GMrxlybWzx97iUqZK8IUUvCf/iPdMKbLZdIzz2Q1NC+7zUa0gC0HOZFF5NPxm+kMdGwn+fULwIU+tlf3pnuRPZ1HxOYei04G3dpfY+IwQhDoesPPRLe5lgUrpFzLAx+f/2JV6NFE08SxRBeYmjGb80nfe5+e/fsV3P3pBVU88QYXzg/DJ2XhYG/oU+k0ldjOKMJYjtRbvl4vSgtFsptRKDTBkYegz2w0c49lF1PiTqQ1ujhNPNpV1B0pHKWdEdUmTz0QGkBlNBYKbZdqS7bgIlkgJtpbZde+gbcMmfUQQR5HmoPQ5scs7RhNSncjRq1MR3z0upls3bOEpTQ8zDHHNJq6YauHFwy03n9+6uqJfYGWLndxw9UuK3pNHAykOrPKaQIdIoLQD5/mOySaOZaaaseuXXWjoScklhGWujJOno7M8R2dbfzHg1wanM5Qqi5V+Mdt4G51pdmu7Vb8+5kWhVBSCGYOAQ5/aosTBh83RCy01892sAgwkbGGcCF2/IdEt7RTjXM+ojkQp3ps2cXv82EhRKWZUwtIiiV7g4ZxtsUCQtICgzJkjsnL5X8yOtmgnpvkVtPFRCLc874kYNyBCR4/ETJXq6ULAVCtikaCJJDtE1oSvRMWNL5Q8tkyUpdnpJ8BjgrIFdeWIeECYqP8iuYZWqy67NbeiWzCshDdQ8kUa7I+RwFx8sdfiahOqvXGuxewxadPswzEfqIQ3OsXb2xum+eSRZiae7t4ZxYQywv44s90ELncD97eFMpkn4/w/1L1Lr2Vblt/1G/Ox1tp7n0fcuPfmzXRWZVXZ2AWyeUkgkOjRQaKBaPEBoE/f34Uv4C6WsKCBhI0wkikZjFECqiIrKzNv5X3FeezXWmvOOQaNMdc+kcZVpgHSzZ0KRWTcE/ux9lxjjvkf/wfW7WAdBlrPxskcJpmvgs6+OcQd/I9f/Zf88fJ3ua7CL38Flz8R5CKEaUByIwzVaVY9rZsCpsbd54HP/0BYC3z1s0Y5+jX7m3/4+/yH/9FP+Pv/239HWTM/+1NDbWTKSqKRdis8GO0u8eFYuX4F+hVwFhdOCOw/z/zO73/K+8fP+e71Az/78kvWubk/jG7XDiwIuzzxcAhoOXuoQozsdiOXs7BW3GSoCye2wr199WaewmKy/b10VoLx+z/5Hf7gJ3/AV+df8k+OH1jNN3RnjgZMA6+18aXCZIH8YOQEh+mOUhprvWKhseqFEIRVG+cKIQd2aeDuEPlmWGizf9difjQ/zcqHK9wNJ6YC1EYkM+TElAIpeALMUhff8ItbgQbzoOkUYSfCXu54N/4VSpt4GGemdHHDI4wp7diP75nr1Qetyb1JhuRwSun2wM5sCJQWKMV4nO4YQ2Zpla8/PHN9nm+8Su2Ycp8CE8VZKj5gjR6svdEBbWYp3xHjgqGUnoe6M1ALjPkTpvGRGAdqvTIvSw9a6APVrbHaHirMsyc8ESAPDt3k0Tv/ukJdjRwDJSpW/fVosGv93syGdWaZAevqm9HGRhKFYBE0EEmoKlFc/BXxaDLoTVoVgiRqbbToauzSqgvAxJCU8KQyx15zPCByoOhC0dXdBKMRgjOWnFfuQptWZyb27NMBpdLaTCAw5juGuMPIVPPuJkbBYkSIzO3E+fJEQJBsbjsQ/nKc9HtRuMWEH/6VL/jyZ7++MTy2I5cYjNPIu/fvuCwnlsvSi2/snbIRUiDktwIA7sNrOAf71r5F76itswW09sAD7ZBI9aO5ZpBqKD1dh4gqDDkRtFFL4fXlmcZCSrDgsl0VuMxO5cox88PPP6OUb5l2Zy4Xp4qljlW6N7J3nqcXcbe86D4mEowwCNpWltV4vQqvrx4sEOuABUVqQVY/RmgTrPZWrAm5CkuDuQQuc6XOvmEc7jMv87dcy4V5Hvj2Q0XDmWlytkGsriitizCjtNh59dVVaCbQ5pWvj4INxofTM9flSqvGOPZrLt6oqgmHOHEYpAfUbtjXQlU3/lqrD7A2w/7tnle4eVNsmPdG8B7zI//uv/Fv84vTE//oj7/kw7l1zZQPm1UbYn7rPR0rPzdFIry/U3Zj5n5M1EW4KlRbaBJpqswFYgq8s8w4ZGKO6FXfxi4q1NV4Phv3YWWHDxj3eWQIkRRnmr34DV4Ua9khvQShvwfDGIIwxAMPuy9otuPTeeX+9BUv7YgpTMOBMb9DxdfWmN0EbfSnYylvsFJVz4psTbif9sQQmGvh2w8faEuD7Othre7z3Qm1eDxWo1kFm0m6InJF7EytZ2dkiCDm5l2uq1FUE9P4nv34QIyJeVlYl0IplS2oAdhsqNl8C9ZinFdfF8PoA3xJTsXFAjR1toX3arfCXaufVLUZLXlDYzjmXKptNzgqjVIXghkpQ2sLIWRgJcQR6NGBWskEggY3/BOHvCQVz4BNAXD/7URiiOF2ulzrwsyFRa9evHvycquFai5EGMNEDg8ImZjchqO2lTHvGPIDSsDKCsn9iyQmxCIalZO+srSVmC4Mi1vH/mWP70XhDjHy6Ref8Otf/ho3cMG7hV4Iht3A4+M79GQcn06g2wCkf3kd7wsZzFr/9wlwox54o/wpfsxq6l+mxzRJzxcU4uADFDf2B/E7zn2Cp0hdjflaUKvkyQdgq3kBXotwWZwq8en+wCf3P2BeAvv9d5yPxvXoOXV5COQxUK35Db146EAgOC0yu8LtMcCoEU6KnMSneSJOZeuf0wvc1rLiGZjZC65uxk14R//FZ4+8nL/0QrlEynlFg7NkdC+E1fHIcjVXkqr5Cgn9RIJRlsbTy4kaKpfzgopf9zy84dLzApeL8ePHgUSDUijrhdieoc6szW+8Vp1x0JrdYJutUG7dt9z+ov/l+AkvuvAP//R/5uvjievc4ZRuCmYArbmkOAnfHYF0oYbCZ6Mw5pX95EfzKI67DgSkusdKTa5cHceBdYtE70c17eyh7wQOAWT0CLBpjBDO1DIDkRR2FF1vUXoxbJsRPTRkZDceiOkTPltn3r9+wsvrEauBfb4jxD1qhSEauxzYZTdgWtomVnLYqJixVG8s7scDBGGZF46vx1sRpRhlxsMDmkHy5/B+pQEz1/bCWlaCKblvMHNdUKpDMuanozEP7KbPyWmHmXGZL1zXmWVpt2nkzV5nw7o7vHGajcVwMsBt6Oc2yVnERUzmg1dvcN7GXRY6RLRt7ObF3E9jDa0XpBpDUEQLIaw9dHdEJBDC5P7j1twpsEEK7k0SMEpdPV3dItHcfyimfVdr+gdJDD6ktkqrC1KRukQAACAASURBVKSGYjQtqBo57MlyYJcfyXFHypGmXrh7BhzaDdUMJQ7J028IVAKHYWCpyn4YPJRl/f9GOfn/6yME4c9++Qusg3nWvR22Ah5S8iFW8/j61lYM9eORgRaD7BiH4b7Btv2vVwMzsLYVInpGpDhYaN1mNECehMXACpSL0jQiYu6RPCUuxYeUDWUcubFFWoPlJOQxoSVy+PSB/XCP1Cv7BPd7o5yhlC4uwt0IrQdAhBhvGGEejS/eBz4dYD4L5QnkGJzZIg3RisWPxCv9yIgCyTreb1gTr+8GmPD+8zu+nU9UE5ZZnC2D+8QsJkiSm7l9cNqpD4c3AFuBFebXRqlXlwaLBySnbpCkuOz9dArolEg60+Yz0lasPaGlUtat24ZWxMOUGzeo7IZ3b5uROM7dEH72/C1/7+svWeKJZIJUwYJXqdvRGW4DnxCFb18aM5Vrgi+6EGXsn0e0MobAPsDclJZgSInDNHEMZ2jO+DEAEZar8QHDhsgnu8j+sGfaC9CoNaA6sLTCYisTgAYPk5bQOzVBiaRxz2565NPWeP/hc/7s5UtUhQP7DoEsHAZXTcbu0XGq8LoaV3WfFGvmfuCSPbA3ROa1cL3OPgfB16bOTqNfq7DL5msPX8NrW9H1O6YwsosTyJ6iV4pdbhwB1HnnLY+M6YEQAmstHM9njudn77jxNXbDScwhDPDv5Lo6XFIxaC5cKhfXUrjAKXBdnEDgRmFQTSmCp86UPviObj0QgrzNZJpL4mNwe9VxdBvXEGckJhAlSCS1RjbrNMCBLMmTqfqQxwyCJaImxjySQiQEaDSESJVClSvKRkt06+goA4Ps2ecHDuMjuePgVSoiidIKpRpFG2uZuV6OjLuB/e6OqJHQVvYpkBAGa4RWWZbfgsKNwbLMtzOgD6n8mCUhsL+/o5SVy/HyUUAnEJsPJIt30GECUgda8eOdtzp+HEM6/7KzR6wbqofQd/PqBRSpWBBUhaaNHN25LcW+7Vf/N3fj4Iu2ueR+PSnXHMgxMeahR5Uph0EoO+M8+ECwddMd3dQ/GxapoKJMe7jfGdki8xpYX51/7kXsrTXduO6eLG1bg4PiifbWBCsOReUUOTwKP//VGbPAupifS/tDQ8fet+eo/b1V64bJ/evpLJ923iaeuHd5ZyqoGcs1UM5KuTa0rMyXZ2JO5Pk71ta4Lh5XVntcWfWT5u2EtQ0itEduxS6Nrxb5p9+8EMfKu5z4+tUw9WM9Rs/p6/+4H7G0KckSp1f4eWpYFH70PjhbIAhi7h74kP1ng/gaGA+TB15sTKPOxbMmXBfj093A+3efMo6BYYK5RNbrwjrDi1afuwCq6nah4uKTorBjYhh2HPb3PJrxfv+eXRrw3nnPqsWHaJu1sMGi9JQo6cED3nU3NcYw9nSXRCmFVhTEedKOrxjLalxXuB+MHB0rLg1WVUTVZ0zijnZVF6C9zRwMaMIoO6Y0ESVwWVZezs+8nk+0ulXoj/Bt2+5joHnHfi1wWXytLrOgV4g9ZKQ0ZV1d8h7E8fBqxlyciZWDNzWtbZCLOb89Jh/A94hBCKSU+kC2oGHpp1MhErAq0JSQMlZ9Dco40Zovvmgu4LMgN9g1irDWmXVdQCBHt3htKBYzwsSYHzy6LCRaqyzFMzyLuV1Ga7DUletyYtYXmgnWLgxxQloDm5lSJAdXXbZ/QXTh96Jwb6rJrXtEQbroRUTIKfnw7niF1t5oe/0hak6li44N09323oBuX1DSBzwmXszeoJYu1GnOsw25F+3VGR5xMMYh0LRQSwX14+OYcwd0Z2dUqCA1kIZMs8JlfeFyPRKCsRsTOXk3INFFGA0/7rn1IygNy2AZN1dfAsvJmI+RVqrvR9sAwJyh0i8gNwBz61rNWSHWmSEP73fs7zOXZUUxlut2s/nAyj6CW7y16XdtATLI5N7iLAIXg7X/bAMmP75bdHxymQ2bjXKZKctMOz0z7Cfi9UJdjOXaO7gG2pwid8NI5fbxOqIJ4BYH1yC0pPzo08i3X8L8pEjxDfi2KfNWO7Ynaq0RLHE9GV99p+Qs7AZhjMIuj5S6kqIwiFG1ksWYhoGQErqW7Zn8Mis8DBN/44e/z/txIKYLqx1Z1sKyGGtVruYdo3bGjAfi+kZbWyaETxjGe6bdxF4rd/tH9mnnMXcyUuriw8rg16B2T24EN1wyV1GaGbUa07BnN+zIcaC2hmpXf27rocHpbJxnQacABKcYukGQ2zxYpbUC5vQ08PUVm3CXAmPa86PHH/Ew3SEYp8uJp+MTx9P57bTXL35H1d7uUXPv+/MFjoPb/V7ORlI49Hi+0iESkd5I4WvJ1s4SCUYQp0OGkZsdhvT7H/X7PwZDqYARk/Uni6gqVQNWBFrwg7e4hWtomVad7WFh5xat3X/dxI9cy3ylroU4upVrk0DRhpLI+cCQRgJQy8xSV9bizKKG1zCTRqlnT++xM6U0TE+UOJBjJhHJciBqcBhPf0tYJbfBBt1fRLbji3E+X5AIdam+O/W7yLb2sP97E4HkBUajD4R69MNbZyibhP7jBsEctmjQrurJ64U+PIm+Y6pgpfaUntBj1ZTLXN3ofoD9PhCz+5g8v76CndDlBa0NbQFtzcU22TnOaj3vcgFbPUU+JldO/vxr5XiXqWflelzfYAPzQdwmqtx6TBO8Mw4f3UNmN5ZNShELK0ttPpSZ9TdurNtx56P5gl9XgwVkBUvy9vft7TsL23ch3fSn+3CcjhfO1xP1/B172xPmmXkxLoszXrQ5pKGNG/NnO31snykYHZMVjlUY7o1oDXsydlU4X51xINm/29vawN9PSAnJkXGaSAOU5cLTq8K9BwpY9K5/VePUDAsrj+LKzZgj1cqmK0EM9sPIv/l7/xK/e/ceycqH8kS+PhNLZakwq6e6iPlQUFJwkUVqXix0Yrf7lGGcSFlIWRiHkSFkDqNAiKz1igT3X9n6jg4GEaQ75eEui0sRxrRnGiaiZNZSnbraT3MiBi1QXo35UWj74G502K1wtwaLKhYgNmWtxto9Pw7DxGHMTPGOz3bvmeJArZWn4xNPrx+4XGd/c9ui+/ghb38IzVhnY77qzZRMAqzNvYk8YNtVrzE6/NnUN7/WfKgrwdkkk4BE78STBmLcEyzjURCVpjNKQ3QGm92sSmGtgdQypUVWMYaYGMJEzg+Q98SUUPPNlwiGM0XUVladCRjRPKowxkiT1dlPMWIoTVcfQAbDQqXUldoKIQpVV6qdUHuhtRPWCjU15hbIcWKf7ggWqUWoLfTZxV/8+F4UblU/2scQMW1Y9sHFNhS6vJ7dH6A5noXgCrVtegFe0SLYCCT31A1JOxe3Y2HBzWlCx769w/f/LkRUG+3a11sPrZXmQ8x5brC5j5nnY17OK1qaS7x3wjjiQg4Tvv7qA7/61YUhF6ahIjVwnY3dvmOeoSIDiAT0bKg2L0CDISlwXFyh145Qik+6bzl0oRfwj2rtDY/sCxz8qEmG0IzH+weKekoLlljn9nbdgmPBRHuDKpL41K8CV9BX25zq3zrjPhvYujvrQhVdgKvwzMw3X7+SXj+g6xFh4TQHlm4GpOqFu35UuIPxxtvsdRhzKOybYqxZKU/GuBg/2AV+fTXOi9O8JHue4EYpTEPi8HjH4e6eFAeg0exAW4/M1yt3qfG6XDk3eC3wzQKEQtg1V8ni72HrD3Yx86/95Pf58f2nTDHx8/O3fLt+ze/8oHiAR4Vr8zeeeqEf4sg4NCxClsCOO/b7O2JM/TsTkghDFN73qLp1PaIuo6V7VvbL0TUL4n+qxTgtcL8/kEOkmXKeZ6wXYTqFEvw7fH4xTncOs9Tcbnx9qQ7FWIBQjVqEefWB6G6ITHnkMOy5298hoszzmafjN3x4+ZaytH9u4bbtiGKu1hwSJPPvNwdjGN++X8OIUcipLzs8izIHoeCb4WVxxsihUyojQhSY4gN38YcEaazlRNUrhTMDmWgZIQKJtSitGLk1BCNqYaSyJ+AlfyRJpOmVtV5pVYm6UqvTKls0JGW/J1BMa2+eKq1dkahIT9CZi8MqIQRS/9AhVKSekXgFa356r36KLjqjraAhEgpoGzwV5y95fE8KtyG1kWKmWvWjuQgyAauxrqsnTwBbVpvdJo7b2d4fcmOjNPdHjh24jf05rc8jt39eezcjPiTU2Z3UxLrqUjo/mNRpUZ6ZqNVYZqUUsOYG7GOG+aqEplwuC6fThWGE3UGgNJa5n+ia+o18cCxvli4eCkYYIAxOCzweG+11+2D+RcrbR93GAG+QLvhxsWP3PvATyMK7z/dcl2tnocQegNyfUIwQBUudodG5eRLBUr+8m2FZ3k4ufsNJdKGTdGuB9WLYGcJsnNvMT//4G/6VXeS4nMhj43oRlsW7Oesbp2qXMcNbscaPw1G8aJ9I/HxRzpoo363sRfj83odu+urQk1WwQbBkxCny8PjA5+8/4/5wj4TIXBYudaa0gXV94fl6QqXxPMPzbMxNGHLlVU4dCtLbJpVT4A9/9yf85N3njCHxi8sH/qc/+xN+/EUAJo7rwqm4qGfMXWgSA9M4kvIFyxDnyC4/MIZdj6orvmFjpBi5HydAOZcZNe00SSGa4cko3jCIOBXwXBOXGaaHERBKq1yW6w3t2qBAwbBmnF+Fb+6MQiXvGmGAsc8VrAGLUGdzSqjCcO/xXVWA9ICJ0NrK8XLm9fwdp9PRjwObSOvjOUVfl0GMcYDDAPs+FB66vL82ofQE+hSM0aN+sOamWkI/cSGsYSvwxhid6TiQuZMH9ronp8aVlVf1E7OpgE1ge1QjpSx+ko7OWTfJVDJNBixOxPHg+Y+hoVyY64LUmRgiw7RjmJIT1VhpzKx68YG7LtS6ojYzxBEjsJYLiJCHCcQl/NauFH2lcUbFaKKUTQBnoLqg4YWsnsBkv3Gj/z8f34vC7QyI4O5yHcaQDHLgI/qQA4wib12ybkCHdQVh7cd6d1D07Tt3PNurvrMNtE+lYavaXqyD0BZjmPxixiCoCWKNIWVCzlw49dw4mGejzs5HLVdYl8hyqZR4YV3VTwjFSGqe6C5CmRUZAmlw9Vhd7a3o+mpEzagzlKNhsx+LxyHyo88f+er5mYsq4SOs5AZ7ixfVkDdb3G7kE+GzH95xnI8salACtfYX3WAjHPNr6Bu2neTWkUP/LlxN3DnjHp4w5YAPs/oQ9dVx0jUo//0/+QV//d/5hPX5mfEeTmdlXZyCuMEarb7BVmFDvno3HyVwUePLVfnyYlzPhTy7MOXhPnI6GesaaEVZzkZrRnwQhjGRx4HdeGCX9zTzW86z/zK1TjwfF1YxTnNjWXzHqFp5ya+wCqUUZ5VE+Pzxnh8+PhARfnV54Y/+5P/ieT7z137sUViXZfauVWCQLlGP0RXBUagEqgZ24QAGS5lBnIpWrSGSmPIOTHldVgjC2oyx0+SUPphrIDG4TfCirEvwyD+tXNvCPF/ZmDg3eK3fJ1qM1yPkLNwnYZdgDEByw66yAC24Wjn48HLRhrQrWRdO64lpufB6OfNyfuJ8mX8D2/5nHyJ+D02Dsd+57D4PwtA/m9FtXs3x+hC9P9kYRtJpv/RTbxRhCsYueTeeQ2CM4vFwomQxdG1oEKQJS/W0mlIWrBqTTOQ4EYcRI2IlE/OeYbxjmA5IqLS6sqrRykJEedzfM909dDFUwCisVSjL0n36K8qKilLigIQBgodSSPSTdGkXzst3LPVIMU9gMuse63G7lSqLHj3j1u7Qf0Fp/l4U7u2u1dbNy4vbc8roxzeKoavdRBlAN5zpu1Iwh0SaQekDPxEYg2OfHyWAab8LxPOcvLiJ09lA0A5LiHlxV0BbYEgjMU2InFwlmTzBpTV/7XWB12dlaUaMxQc7gDSQKuzvAuzhw4szNqIKYRZkFqy6w5TkfpNXo10MuwKdr/rubuLf+xs/5u//9MovX2ZEXBhxowTSb5QsDGNwuldzErIJfPb5I5fr12BOA9QN9uiTJDWHePwi4WKkZi5UUG40yq2I+8DFFXDD4EZC2kCvYMUxQrXIP/jHv+I//tf/KulFeWnC+ehmSy5X/s37fdsjQu/Ck4KKcG7wRx/g6zOEq/HF4E5sOU/sdiceMciRr39daSp91xbW0ng+nanqVptr2zoxHwjUmrm2taeu+PVQ4HoqsOKQj7okYMjGpTyzHC/89Fdf8s3Lmd1emIZIbcp1Vce2dYPloFihoqzauFaYayCFxHW5kucT2oylLpRSyCGR80hT5fWyEpKx7GCnQlKj4q6Aih8OlwKvZ6Nd3LXuWi+cl5llXX7z3tpgLXpRrN4hp2bs8EIYhkQJgblFrsXd81yz7et7XpUhecjvXAqvlxPfPH3HslQ+au/fHn1dhuCCm/0BDvs3BWhA3SGzJ+ZsIRom/X7b1oHQAx98DpKHwCDqRk19EGVSiBnUFuZ24mozFCU2o+pKs5XrfOF+uGeY3rGbHkhpZCmKSfLUdlXQikllrhfO9UIIjftxx+7+HfvDgZR8JrDW6k6VGNbpx1UbzVaqVlL2521NaXMBUWpbfM5VvZES3D/Gh8y+VhbFU3BkgTxhvw3Dya3o1NKIKVKXQqt4oswg3YdAQAPWXBEWc/AQC7FbEUH6TV/Mu8XeSdttFdhNau6/9+OYCKLqLIDFoEVAPahYrUeIjcS+m6YxMIyupqyL9oUllFVdmq1GNOVuTOwGc9vGYNw/BF6PQI2kathzpLw051OHtwGbFUFn3OgeQYOxsvAL+RWnsLD1UAJvTJz+SMm7e8fpveuOAe7fZb777kIQZ33Q/R682+5Umw5gC/3orHykggPR7sa4WZ6qMQ6RGIwKbpC19uO5gZnys9dn/t6ffODf343oh8J6Eda1e44UpQH7UZjiR5hyZ8OIBC7V+F9eBn76NPP8YrxPEKYEaUTrQB7g/S5CEr59Ae2QTVuV88vZVZKzkdLkrn3J2RqQwAZEK6JG0OaftQi2OP+ZXgNN4MP5xPLryvlSOZ7d72TKiSEHlrIyV5+fjNm5103d0vS4Ntbo5ljLHBCrDOGIyUgdjWoL63olx0CKgaU1ns8NyYHP7uCuQctdFGZufhQVTis8vYIuxlovXJYTp+uVtSxvp9KNbdTbb3MtFPOlEQ6B2JSchGkYKXGgFeGSF2pc2R8iwwgtKKsKxkCQgbVUno6vfPf07IKef7bT7gcpiTANwuMBPr0XPtl58s3QB64SHR7JwdkjRZ0yqAWSCsmcTrkZlznnXjtX34t5EeVFvkFSRMLKKb2wSCMUP4GJVooWSimEaeCw/4z76RGCoG1GQyAJJHHhDqGQknE4HNiPj+zCwOFwz27I7oioStHVMexWmVthaYWqDUMRMypXJCRiyCjucaTaCJpJ7Jy5QyAFcTGQKdZpg2ZAVCQ2svwWFG6nEDm1KeXoXMsCSHAzGfPC6rpoDzmNh0Cx6m1t6R4JvSN0Cpx03FjeRDjAFtqgqm8Np0JbutlUFO+4MVoHXl0AF4kx4jaZkXHKHuh72WiF3VFMFOsucLudsI+emNGavxcAXSuSA/O1UU4KVWBvyOCrvhYvHIJ4ITJ4XQs/fT1yloZ+hP/dLmE/rsYEISpqgdoAnMO932eOv7pSFZZLj3rrw0vEEJLLnCVQuj2rdJjlxvduXrSxPksIQsyABSKV0rovjEf6ESKse+Xv/dkv+MFfHflXZ2jFPWJmheeLd7PjuJ2SvOCsDUITigg/PWb+wVcLT5fA5aVxeAwsBkNInNeZJRjT1LCrwLQ1l0a5VlePliN1VdJ4IE8Do4Qu3nB2QKhCrAFdtIcg9Iva/OSHeEN2Oiuny+U2H0aEPAWiNI5z4WrwOMChmzrNC1wKlGhk+ia1mHdU8sxclXm3YjRO86sbTDFwrs8c14W2GudVeN8N0Io61o/CrMbzNXD8oNjauCxHXmPi+Tqja+mzArttuNvgQNVNx7QKUoTQ6bYqPplMIRBz4/0ngfGQqFpcki07Ur5HiFzLlW+OX/N6XG6n35uhDFsjBEOGxzv4waPwuDPuOryh6usqikMFObu162bG1Yp36jer5ypOV6XfF61L3vtMdNYLq/7cE+VVPRWoht6xGrVVchzYjXeugowQJZFiZ3nFhoSGSkFCYYjCXdqxHyfnfVOYy8q6XljrmdP8yrVcWdrCZbmy1AUN1U/MokQ1P5zG5LzzqpS1ojUQbOziQAVznxJDadUn9YZBKJhcGcffAsk79CKkrnBy4UpAr3gxbp3jRns7rvep+a1t7viupOBa9Q76B3Fj8y0/ULQjMx9NbUW6E6EGQj9Omzh0syV4SHzjCDfzAtN9BJ3x0u3AxDxdPtIxuBTR6OKDZgCBupr7W67Vi4WYM0zGTvxfWmdwvJ1BqwmntaFx+/ttI+Lt5jQ345e+eW0BEdM4MIzBuaUEytJB0GrOQImBGGAcMxB9wk2Fge7aSKcscoOkDENGd5pzyEM+CngWZ6hkkAkug/LfPF/JKfLXLIBWUhAeDv0mD29pM2sNflIQ+Kfngf/qV5VfFmF2MSBFYalG48R3J1cr7hK8mMHgBb813LulQwOlOqwVgxGHiYx0Roc5aLwasvHT2xsMtNErMW4BAB9TJadRIK4c10oT9xQ5jOYbBnCt5lmMDS6zIGuF8UglMZeFsi6oVF4v37EbvJAt88LSlLkYl1UozfHQ2vovhblFnp6N9Qi2Gt8enzFdeT4WWm0dKvqoG+7NSQ8b5z7ChEf/rVUptngRCZFxqi5ii47lKgd26T27/EBpjePlhaeXZ2clbYytvjEIzl9PCR4O8HgP9weHRrQ3Uq3qreqE6LOK4WYe5yHg2/VNIdzWttEbrgaoS8eX1gt8dhn7WkBXX9e2ke7NGIaJmCY/QZshYkwpUlslcmVdvqLWyLTLDFNkl0amnEkSaG3hPJ84X75jXc4stTDXlVkvlDb7a4hTgMMWzKJKqVe/l4pgLYBuZkpGkxlrC8hAEGGt6sSH4FTInI2U6l9aL783hXuDHpsBsSecF2/tfPf1KchmlaMFYgg0PErodjzcbizDBx59QdzocnCjLxk+kNwMPeQmFfObRavdIANtjZUFwyilcZECptTuLRJydy+sQAMN5rmK4sPGUuC6uoLKGqxz82gyM0gwvUvYTl3a3zH5GwTikkRftEk6pu+YoNlHOPftCOFFW7tb4P3hQLOFeW1YC6yrvqkCC47ZYww5IkAdIkWrUw5GYDZnWXTV5FYQpNP51s45LT1qTaLcPCbiAGEwvlbh73zX+A92wh+GhJnzlCMOb1UztArFhGsT/tEH+B9eC7MYl3OjakSGgCYDGksRni7G6Qp5cV6wQ6b25uHeZxitrQiC5UBbAy0ELBTfoFTRVWkXhTNQnZWy+yQT97DURlk2rmL/PoIQQuCwD1isvFY/BYUUkGAszWmB1pNrLovx/CokUxLPfsxOO2q5YNJ4OX/N3fgIosxloVaYG1yKsVYPSyirD9UxPLPyxdCLr4tvPpw4Xi+eobpaL9x+H2zGX9sGdBiFzw6BKbqndFkblhshLmhshKSsIjwXeLkKX+w/4SF+RrDE169f83x64vnDK23dFtzba2whEOMI48558hrUB8Pq95IaZElEiQgNi4oO3uQMAqdVWdcuOMJDwVMUYjT2ozBGoCgahLK6qrRmL+DaG4xdSOQweAqRNe/ka8+hNWVLGM5BCbLQytlj0qYHRrljSglpjVUX5uXIy/EbrpeXW2OZRAimYBW3oouOlUu/acOb3WwrgWADUSImQz/NN2pdUM5ea4AtvzjHQE6JIf02QCUAzSfIrUGYIm2tbtkawq37yaOLZCwaOnvhxrwLN/Viplvx7fhb6Ek4mw/ITaFnOIwCINqZKnKTycvGJW7+XPPl6p4YXWzSanc0MyOmQBicorV1BqZwnhuWfDe+XpTz2bAaIBjr0jPpgLQPPHwxcqoXlrO9DVNvU8cO9VScshB6cQLonar4HNJDjQ1ase5TYnzy+MBczy5vJjMvymZPSwVZQYtj9RINoyv9tuBm8M2kJwGBv5bg4pUYnE6oBjbgZ/Lab+ogWBXOzfjmAn/3DL/YCX99SNzlyhTAirBI4KiRP74Y//DXyldF2X8iLotfwMQIk715U7ceRju7NahJ30ja9p1t8JGAVpp5gnqUQoqZGBqhlS5m2iSfQDGGu8Tn7x8hF16vMy+XBdtOdwaYi8T2O59zvMxGFliK4+Qvs3uxvNsZQww8XYzXqzEGJciRIc0MaSSxcpdH7kPgkAYsGJeyuNFSP1msKrffN4uDuSjzUWH2tdSe4XxW32Ar7q2yjSzC27pPAX5wF/lsd8/94ZGUE3M48SLf0GLFsvug/PkMv3pVxjrye/cPTHnP0+XEz779U07nCx+erjf4bJtLBJFuigXj5EW7BfdWyeI9wFRhSCOjvCPgntQmM0NcPNhZjPPiVrtJIfXp9YDxbhLe7Y396B39Wh1euczGBb0dTndE7vcjgUyrjWaJVleu11f2acSF6kJUJWJYawRTUhiInUpYl4V5mbkuZ06XJ5b5SBDz7yxlj1QLIwSlWvETN33WZn60ERwaGeIE6hoVTMhtpVVhsynWfj/F6LL+HDJDODDG3waoRN6ahFYa4z5RRRARLwjd/S+lgKgP61rt56TtH8JvDEqsdblxlv4ptxvP+I1HP6KY9u7e+sQYhz2k3zDrXGiyZfFxEwIJDk1skmZwAYyFwKXAcqwECayz0Yq83fvb6SLB4xcT0wHO3wHn0F0A4SaP7BuIByxssn1xqX8vZBsfe0tFb62/HxM+/fSe83x2zNvwnE6f5CIqtMWL9PW4Mhw8lWTzp8BwmftqUPq1Dn0jEemWqh12SILsOjZcfXNpZ3h+UUIwPkuRwwj/+KT8t38m/O4u8jc/gSk3jvmBn8+Z//PXz7wuyvhgSI5cX/Au0hRNwgV4HRxuWleHgoJ1i4PtJGX+3W2DTgBdG+t6ymHEiAAAIABJREFUQcrCQEYmMGtYVUKIhBDQTm9I2c/rQ96jT6ubHh0CJPVAaJzKuZ8GWlGuV0Oz8LoYaoGnV+MwCraD6xr58NK4rEZJiqIMrZHLwvvpjsfdZ+4BPkyAcFqvN6e80mBtHxly9b12WYVyxr+T2NfctlFvTUlf3LadUsUL3m4cuN99wafvfki1ZwIXSoBrEJ6b8PWs/PkZTjO8H+6Y2LFY4RdPX/PzLz9Qr4rOftMIzuMHD2g+jLCfPJovDc6cqNrfprjT3pj2RA4Ec9vVphV0JcVAcWOdm0guqm8Id9mIo6cDhSS0ILxW46WfQmILWPEOdxiFVr2BKRY4r5UQKuf1ld0cQfdMcWCM/h1rUzLRdRaXM8u6oFpp2riu156/mRiGgSkNDMltWEPDlY5WUArVZldOWgVRIgNJEsN4h5jQekp8k0SyiGpwC2d1GmQUh1eTuBe33I53//zH96NwgxulRwcxg0KU4JziAGKtY9BwdxiI48CxzI6XbV1xP80mdbWVmdLMyDl597yRYXuB8583//9hK+r65pUSt87Zi1RZKxa9jfMkGrv5nmyqThciGET3Dq4I1sRpdmqIKcTgXWgfmI4PkfvPXXCzHsGW/rZiZ99uOKI6dBMnnDY4d1hie79s0I8DSqqOz4vCp58+8HL8tZvwF2FdHcJxkyVnirSrsTyVW7YjDaTT4exs3o3Wzjl3owdCVj8R0Z8r4CuqXwtR0CfjWoSH94FPvjCmQfj1C3xojV18zy+otOXI6Vr405czx7lAgjxGLifj8tqQFtBqaFcn/uqqSPU8Q/D3IvTNV7fi1Y/ymwVw6wyMVrmEir3LrOJRWDELMomnLBksy8rT0wl7Ni4vC5JhelAIkfOTU+DSLjDmxKleWReHRV5mZ+y8vhjxMXIalEtpHE/ubFnUODUY1GcLx7UiaWAKI9PgjnOXpblOAMe0tYo7y701+5QZSodJtsGgJbj5ym+nzmj9KO5+H0MyphwZDg+kUWgcafLKgvJajO8KfLeKqxSL8OnjA9ki11r58OGV9eSQmfRJuHVYMka4n+B+L0w7Y9o5DVBSx6HF6ZQpJGIYiTYilintyry8+jwlBNTU8z6725+uXtRyT8xJ4tfwqMKvr87aSQrJbcUZzKGZeS5YgFmVY6kcRpjbwrmeCckwVtQygwZEM4SMBOfwz1pYytyjyyI5DezHif1ux37IjEPCYuNaA7Y4G8VwKfzaKsVOgBAleSZqghgG5rpQzX8uyUAlo1pBvRELuI8/TRCLbz5Ef8Hj+1G4O6QhoxdFLW+GMj5IdMw7T5n7h5G026EX4fjiF+nmwKMOM/hMwkADIUUkdOFrCKyqHhK6nfE6fezGCe+4bejS8e243Up7K/5+vV2JtQ1ctu68dlihH90l95bEna1IQ3Rcvhfn9z+ZSDvj9bvGevE3EHpWpkK3n/XuudXOtb7BX/LmRwK+yQX/PG3bzATefXrgz69njI7bdyzauqoyiF/zdnZOrYz9+myfZfY/w0fwA8b+EJlGoaoSRNCqsAh28dcOg3PG4xF+9OPM/aEwd5n2frrjd3/0E/7W72X+15/+Ecdj4XQqGEIe3Ojr+qFiV27MHykBIlxPDem863BTbdoNxbktK3MPms3bRTFicLc3MyVPRp64qRdnBVy/wvk8OyzXN0WiC7786gr7CXIqXOeCLlCi8KxCPTuMdx2U5wDn2eX9m1ahGi4uCsaHy8xxLXwyHBjHkVlfHG6xN1SmmVB6BzkK7CTw0AJxbp3t1BdaH9r9hiDm41/isvO73UCIT1z4NS/hW04y81yNY+s+K9WZHfcy8DgcEImcLq+8PJ9u8w2HF/2lU4K7nfD+ITCk5rz+KEzdF17EujS9M3StUZmp9YXL/AHtha919WyQzm02Ny3z4F/v3gNQtdtBmLh/VDHWosTm2FAksZaGBbi2gqJISL4OYoIEjUIxheIy/Bgjcyu00ljaQgNSGkhpYjdOPNw98Hg4MOaI2EpjQVOiWSbUyFqVphdEj6AzRkTSjhga1i6YVQJKpBERhjjSJFNl7qd9JYpbIkQZ3J9l88T9Cx7fm8Jt5jAAqxcX6SCzd1JeQPInA3ef3UOO7JNxPc+sVnr3KtCc1sdNKen5dj/4bOIuJ9al8uFlcU9t+83XBodmjG0ivf333u0W62wXueHnZvbmwLZ5n2wSYPwptHZREUYaE+OY3Pe5KYdPEvdfBCqF43NBNBJSu9EJRXqydX8P5mSZG3xEf81twHEzz1Lv1FAvVIf7ieMvZ3fiuwpouBUSi0bK/tl1MZi5CW4M3wgp9Mnf21cmAR4fDwx75XQ++WuuwKX/GsH2gBj7x8DDJwYDPJ2MxsAPP/mUx8MDQy5IMubiXalEFxE1M/dqrsENwvABsaRA2sEUfKC5Vu3xVdv7s+03tkWw+bCkLOwehOE+IjuFg+PmKQU0GiWALtvm1j93Exjcq9yKF0YT4W4HMc6sWrHFvaPrEJzGqTBfHZcunYkjW8VroMlPa98cT3x1fuJ+2BFSZlkac1k9wKOv/rVBqoIwsMuRTGA5L+ji6/3m66K8ZS92yM7XTYfEMPIYyIdXNL9yTcqzNV4rXLvKcC2BMiu2wsPunomBqo2vn55Y5tq7QW5rPgRPj3//ELjbRUKMNF1JyUhRICjT4HYBQ+jOfbbQrLLUI42KhHAz+Sob2yd2H6LBWSf+9fnsZqmBZVW3aKjub09xTyFCcO+UFJDs0EnsrhdDTK5vsIogBAtgibWFfvjuaUeS2Q0T07jzX8PE3bRjP+wYEpRa0FYJbWUKEONIVEXbkdW6cymNplcsjJgopZ7dREubownmOaVrwGd7HeoMMaNWWNZXlONfWjK/H4UbsCK0nUFwtVYeNvc/ZZNX5wGGuxFLxtgS0u0+gTdFn+LtShVCS3z+7hN+dNiTET5898RahXWZaahP6ek3vYQbpU+beHew3WwmbtzTcVPpePNtWh/8Z/324KNhqGDVZdgYTIcdKUMslRIa+R2ssvDy2igVoiiR7B7ffdi4MWK2DhjjzT/E8FMF/sNqdgv+dYWcMY6Z6ZC5zjOqxjoHH4j0k4ahkDNDipRUqVclrF3IJNsmdANi+pflne7d3R6im/DUorQz2LWfSpI4Lz0au/egQ+O1Gsdr4N30nk/2nzINI2s7uRVAV4hKcJv/y6kXblX3LXdVPSEb7x+Fx0E4XYVvn7XTM+HmCkh/z93qM0xCHCBNQjgYbVep0XFjXWAXDQ6OE7dtLQVuVEjpCek3DntUdoeMpEJRF1A5PNvplWOfLy92C81920y4DU6X1ni9vCKf/y45T8znwtzarfPEfPgbZOJ++h2MkZ9+8+f89BcXWu3Ydaf5AW9w3XYPbMdCwAKsybgm5TjBGhrn4uMIbR4t9nQ2ljPERbh/PFCrseiVbz+83AI5tm474GHI4yCMg5BzoDW/pr65+Q/H4Ph3TCA0mh7R5p24iAuVFu3KQen278G8twjijC1TVyevxlWdSUJ1FlKrRqzQVtAkhJzd4EsDobpJ1n4Y3M+7+VE4xYnYBkQHYE/tjc+QB3bjyJgzOUWmYeQwTYx5IKeEUEkhUJeCLRdCVBLGKEKVHbNlTFdnkXF1e+M4elOjgonjRw7VzMSP7m8fVibnpq+v2L8AK/l+FG5z/DGOm4TcbzIBUMP6VCYMgdYTY1TV4Ytbq+mPjS4YFD4dDvzVH/2I+/1AuS4s1wshnl1BF6Vzx3njfPbuxRo91qjdOuntfW4Q4tbhE9+O6jchQhBiCgj61oWLm/a3qtRVITt97um1cTq2t+FiTyW7fZ43KustUUQ2zxDg7aX1NzaR1m+g3ZSJA1xWxxbqvH2ePmQNQjNlf7cnjoFLW9CrESwiqd0KIn3T2iCmlBPTNHBpV8AHnG1jxMhW6pU0CXlnnEW4nmEfPuHzxx8xyuSKvepT+aYu4c8xUK+wLN75yabglIAE5W4Pn38SGJtSqsM8lb6hmtz4+oq5T00G2YNMoNm76qUn7rQaqLNfxLtHYbiTLn/378I3YYPY2TpduRcFpl33WF7lRhmVAdJB3H2veCjAx/vdbQ1thRb3Ct/tJnLOrLU6HbS/Bs1oZeDh7ve4H3+Hn71+zf/+7ZFzdZm29GH0TQizFW315WR9iCwBLAmXZHy7IW3q2gAzWCqcLsblaLQL3FliCpHZVp5OF45HT7zfmgnBi+uYYdcj65opwSr32d9HWT1bMib/2bCxW/CNwujIozkJaVu77tosRHF8m+gNnFrn8LvREFKMUIwdMKTgXaz0QG41dK2MEhhDYCS4MrosSBvBoGkgyoimkZwnUsxMOXPo9r8pCCkEJGSky6+1GXVdWOeZthRiDqToXt9ZRjJ7Fq1UXVFV5nKhhbln4wZC2mNppNmCsUBwLr1fC/NUnWKsHweL/gWP/1eFW0TeAf8F8Lf60vtPgf8D+DvA7wN/CvwnZvbUf/5vA/9ZX0r/uZn913/pC1jvWEr0QWRnQ7jqUW8LMU0JstG0Ma8zdZukdQwUuA2qfvTpO/6tf/kP+Z0ff05l4dmeeJlnXi8L7ebAIx1+sNsgBwNtitjgLcDHsl7hNlQUs15MvKDcCrx5YQ2jD1NCcQzYgKILelVa8w5ueVVYxb1LYkBpWK0dHMdDgYPcThw3WCfSw2ffftHdDEP0z6/FO679dKCUlf+bujeJtSy70vO+tfc+ze1eE31ENkxmw2RbLBaLlMpUlcoQYEEwYE1swDNbMKCJIXgoQfBUsEYGNPFAE8MDG4bgiQQP1NmSSypJLFeVyGIlq8hKMpvIzGhfd99tTrP3Xh6sfe97wWInuAF9Eg/xMuI25567z9pr/ev//9UPhh/H6/4S2HXLSckSaRaOlBzbaGwLSSYueiHjFgUHdRPwFYx98XQuU+Z3WP7ehKqySLEeMy41vHT0MofhJl2XaeuKIfb7m9J7xXnHMGZr0o7XPqAUqKh41jgUVzDdPUy1Y1F4y5YlWDDVWkm+GOOP4JygXm2zA/oepuKYLJRuUwJuWZe7QEguo96iECZC01ivZOjzHv83ig0WGYdrz71+E1677jtb1RAqxAnbfjA7TzU5/WEz5c70DrP6Dstx5IfPPwTJyGDDebOzFyrQ8b4pTOZqyPLO7qGC6ISNZrYZKoSYYTPAsoPVCvI5yAizG1M7n9jz+OQ545BewM5FTNZ/MHVUlcFVThM3JzBvHKMqm6gkMahy1//3zjJ1W28GOaVsbpb4wuYqjw8FP3cecrJMfEi7S2wwyNSbCMq7jK9doQQOltFnx2IyM1LDoDambYx4NdipDrts3uGdjSprQo13FcFZ3yBppuvNVTCgaB7YbrZ03UCKmaCOelLhQ0Ci4uWAIMoYl6Q0GNKGQaWJBGmF1x68xQbKmoxAn5WuH8hYT2Mn/PtJx8+bcf8d4B+q6n8sIlZfwN8E/jdV/dsi8jeAvwH8dRH5PPCfAl8AHgD/VEQ+oz8j9xcVGMyXN8ZsGG/lyDFinr5CO2sJVSCNmZhiyZSL3L1kwt7BnZtH/Lkv/xJvvP4K7WHDsluyXV7SbaMFtCQ2KHjXlfdY5pwdSioNKV8MiV684bQY4xhM4kqGm+3vyk0aGqVZeIIodXSk2nb4PmeGYSQEh689qc/Eje1K9UFL9JGIGVThdzeKNWqz6F7gQQlOVmaVjQRBSknqyoaEwuJgTh97m4+XA2NnszbzTnGKIM4ZZigjflKy07Xicgly8CKLUqBpAzijTQFm07q7uQWDA6IFkE6FuocH7U1uNLcgN9QhMZl4Ts+2pCwkzP8ZCrRUXmvvnVg25+4CLlqoZuaw6J3D7XoAsKdm7gI3weYcWt/ErlMugU2KYCt1Sr/JzA89oU3EpV71MiLWZEsg0VhGoRILWFnKCLiSoY+QOsjBrgel6tkH6x20RoHRSuVThQpV2MaOIPCp+S2++PIbfO6VTzNvp3x88YTfffi7POkuiIO7UnEqRcMgV43zXQJT3BXVs/dWz1HYDgZLCdBFZbmB8wuhuwDtoK09NxZzgvOsu5HL5XqfNFCwWO9gUittU5IUhHkFixqaoDhVksOai2oTe4IKDk/OVmXYoOiySdVC9hbAqmDwSXBCE8zLBDE8W5z1NoIKySmtM32YC6bgHXPCa8Nhc4OJTHAom7RhM65Iw1DGBQZcDVInoxcXCnB5G1JOpD6CJpwobQjgK+I4GhAqgZQcMXtSH1EZqCYtQRtqmZG8Q0NLpyti2pB0wKFliRh6UPmJbVYaySESU2TMyjYWPriar/1PO35m4BaRA+A3gP8cQFUHYBCRvwz8ZnnY/wD8c+CvA38Z+J9VtQfeE5F3ga8D//qnvg9CGhJV5UuiozaRYjTMr5oEJvNZGQuWbFBtaSpqmfYB5uP75qdf5tOvvcrL91+GYBfreYS7iwnhXubkLPL8WV/M+7WwMUp2X+4Bw7OvAreUUlyTvacEj2s8WuV9ZqZqXt5h5mgXAU9mqjWpVvpe6Dd9GRBhCi7NahS7UKHJF1xz55PNnqOrJZOrQkXVCH3fWbNM7EtuvLd5g74vC0L3LIPFYctqe8kQhaCB3PdX2EsB40WErNmkyT4bq2TA6Fg/YbsNtWeMPTHaJPQ0lhRw1xsoN2VUWMXM3dAwD0fEZLLjqqqoG7FyUp1VPQJDn63Jmc0HRRSyK7YCmH3u2XPzrPDVrs9qQiyRAo3sss0dy8eVa5nFmDJdWTpTRRrjAPdLpZkX7xUwznpx0pNcOPMRSEJVgwumaByKpB0B3dl3FCrpPuDtvk8p53DN06sONXWojBI3Jj5/6zW+cPcrfPr+p1kcH3LWn/LuD77F+8+e4yrHeFnOyckOOS+flRffrwROKtBg6yStlIslHB3AtLJs++QClqeKruw1juczFmGCuMDF8oyhi1fZtgNXWB6TxpqGKSuVV+YVzGu7zt1uY5SSPTtPkADaQE6EPFChZaiHBWlxxj4Zy/dWidI0QuNAo/WKZq1dvrHP0JhBL8mmFeGURhqOpw84qm/ixkwct/Tbnm4bGfvIopqgTUvMzhwXx54qTPZ00ZGBMSY0b3GSaaoaX83wxe4iZyVlhwszggSy9iiOrJapN1WDuDlOekK4Qa+n9OO5DeMetuZqqAEptqdORhxbBPOXGbKZgHm3WzD/9zLu14FnwH8vIl8Gfg/4r4C7qvoIQFUficid8viXgH9z7fkflb974RCRvwr8Vco5CmYLauOxbOdxbTa3tpwJbaCemBtcTMYkMLXjddqMgDjmBwcc3Diiahvz8NWKRd1w/2ZD8AOahfVqZH1ZsHNXYJmdWEONU6oFIFTRPQJA6V6HeUWYOKJqYbLYc10Q6tYTmkAce5JTKjwxGQHfB2clktPSJATIjOvexpcN5fN4oMUgnMECThUc06ZiGLviGWv8z//oN36dJ88f8zvPvmd2l2p0QFHl+OiAdbdlzEpI7AcYuCzsJuloUrptRAoVDC3vK6Dxuvui2h3pMhISmyEyZPPGyIN9DtsLpPQRjMIYtkrdVqZ0G0fa2pNUgcgwDAxZyMEqlri1TFeSKVKrYM2rWDJXjbC9tOZVaB3jkIyGWTxaBHNqJCtBhPlE0drK9zyUIcVbNShjC9pmqCF6oT9O1jSLDu31KmNubKCxjvb9143h/10Sxk6uIJJybY0nytWPXvvdAWqDmfEwbRbUlU3n+dTRG7x64w3uHb7KRjd86/1v84eP3+GHj97ndp0ZVXi2zcXuQK9eW4HrWbcr31XgqgejoAOsz5Rnc+Fwqiy3jsuLTF4Cg9mmTictoHRDz/OTC2PSlI1eML+XaWVimFFNAHNYQxXsO49O2I5Kp8YQmpQgpNmjVEhyhBipyhrfJuu476CUVKAQ76ENSutLDlLZ+uiL0ZlXWxMJK3i8q7h5cJfD9oipn5L7yKgD2zhyuR6pNJB9IGbHmBWfEjKOBNcTXCDH0abYyIhqR+0dgYboHdFXBG/3cD29xV/+K3+DEArpv1Qh7L4KNSjP/jPnv7OLx/w3/91/SB83BK0xLaiCG80WQ2FMxpIaMQW2++n6m58rcAfgV4C/pqrfFJG/g8EiP+n4cbD6n9o6VPXvAn8XQJyolM5FiskajMm+TA2OJJm6qWjqiipEBpdLHc6LNwVWtrVNg689WRKVb5gvDjg4POLssqLuBibTRF0JG4qIIDic38Eytvvm4kQG4FzRn5WMxrWBZtHgG8hdtAbXDjffBY+Y6LtIRpn4hi4l+piMbRGwyqEb7D2SkpONHTHpuliQiCBNUYCqZVmhrsyIqhggtU3LF//8m7z/T/4Id14mrWf7EREOjxesuhOLGepIcYc6lOYvAoV/TFl0othn3X9XXJNOa4EjhGEYLeNIFN+Vku2WTE+qMs0kOlIfuKRnVvdMpOFifcbIbfoUGXPGBUhbs7SlNE5tLrMWcaxpyXIBWcdkAdg+p1pDqXD/WxFeu1XxqbvCwd3ItlLOe2XYOlZnjkc/yJx/ouS+2NDWton2h+DmpRu8VZPtiyKj4dtafECqVsgC3UgZPnBt5WeuvMt3f7dbo373VyULUKGtJtS+YdpMmDy4yc3FXU5XJ/yL7/9LfvfhdzgfOw7rwKtT4fRSzXht76V+7fYqVd/+TivfAcGSoVAYDGmlnHwCy0NnNsRrgyixnh9DGlnHnrPTNd3GDGAKVwon0Fa7MX02dMOLiWMIMIoNx90xcLR82pQzqiNeKpwKTmo0J7ym/UdQKZxvhUqhFXN3qHYB3dssTwDvzauoH5S6rqibwKSdMJlUhCCoZDSMrLYXPH16QeyEqq5I2dPHhBBxfoLPnjEnZNjixIY6O6c4Ir4K5o0/RLZsrdoG5o3n4Pg+dTP5U0HuJx0uNIzqyBEmIRBHwdWOmCzxGRAGtQvsvV4REn7K8fME7o+Aj1T1m+X//xcscD8Rkfsl274PPL32+FeuPf9l4JOf5wN6F0jRIotms1513nbuZlIRgiN48O56t648WWzqy+0bx9y9dROVkT5umLQ19aRiMp+SXKKLI6fLyHpDcSRTC5QlE7IbrTALsiA7HwRffL4xnnGoBCWS006ZUs5DlThmdDXS9UqXMmvtiVvbWS07synS2ktJJTO7ibC7XqtLjryy2YeuMtqjIlTBPMF3weHOzZvowYLLekBaMTfEaJuOOOHgaMLT9cY620O2f9vTZ66QDc3JuLCpBH01zHrvVSIUQy5rgIZg6kywfoHNnd091ih4UhtuXeMZt0qXRxo/0A0bnl48JrsD+pQMBvZm60kyuAlAR5s9SFNu75KxXvlCXPs+arv5dVQOp8IXX5tz70FPPI6sAlQR2yDHxI1XhOePYHsunH3iWD6J5FPIJ6YlcGpY9c56QEejDRZFNr4xzLIfxYYtJK427h3OfM0jB3SvK9h53SBmVFWHQBNqJpNDKhd4ujzht7/3r/jt977FRswca50S7w+wXWLGUknx3uFqh2AwUhxTSYwFJBd8335ElLZyBFFWHQyPlWFVKIc9xVdGGVLm+eqS882WzWm/t/7dbdzeQ1MLISjtxCCfVDYq9VaZSs42uV2ELmZyhFRMubJmvAu4UJG0IsZxLzbypWpxYll9VabhWBfTE2MiRt0PD9bkmE9mzOZzxGeqylFVoNiE9cvTZ5yfnKJDwmUPURgdiFjsCNGGOYSYgWhGVtj6VmkYY2DwNcE3SApojqhm2vTj8tKffSQMVoo543JCxsxWBzqUriyZKhTpuy8Wvj/l+JmBW1Ufi8hDEXlbVb8H/AXgu+XnPwP+dvnz75en/APgfxKR/xZrTr4F/M5PfROxjnJwAR3HF85q12iqZxW+FlwJ2ioWXXakBwXaJvD2m69x+/axZdCSWfeX9IPNkHu6XPPuh5EnjwqOuntu8dywwGNpk+5ENpKNPSKl+RhB+0zcjvSpsykzO0ohxtdMo2MYIuNoMlZJuagV7URFHLFLNikGXsRDy0BMlYKd95b9GwwQWFQzvPdEHyHAm597i2FIjBLxE3AuEYvRfO09s4OW5dPNHhLRYsm6DyZiAylC8erYeT7r9eyNck6l7A21EIKzMWgoaSgVQlayCC4I1dRmajah4OgpMUFIQ8fD9SnLzSWOkSFnspjiJPVim0dbMO9imkRlN3Xe0R0TpI1BAaajKJSxEYPBYuL7H11yOirSZapjITRQBcXXjuMaDu7AmDLnzx0f/L7nyTuJfO6QOw5XJUuihwLbFRdFRszYP6h5YYyKDHqVcev1H6u+9lz/H73fnVkhBGce0ikppxfn/OHD7/L7H/4hWz/aXLGsSLDHBCqO7yx4cOM292/d5Hi+QNRzud7y9OkpTx+fcPLsgvWwZawSzVTQmjI5xxrbTvPe7TFX5TyzJQKaoFtFSMksFa6xYpyDOpSNuBImU7OkiNnEUlEzqo7gzSzLp2jMEBxBa4LUSIBxXKE5M0RAk5lPAVXJuDOmuTL83HzI46D0vbFLUCX4mtnsFkfTO9R1TXYdY74k64Z195zxYqA7G/CpohZQZ5VmcqYJUDLjMDBIXQhQtcneCQRfEZzN8OxzQFLFqOYhAsqQw4/5Mn/24cv6jZohJWLq6fNIL0qnGNSHNWO9GBT1046fl1Xy14D/sTBKfgj8FWw5/j0R+S+AD4H/BEBV3xGRv4cF9gj8lz+LUVKet/9dSrPRBUceE1KJBe5K94H7Ct4rUdsp9+7e4JVX7zOZt6jPREZOT56yXl/y5PFT3vneBU+eKGn0liIqtiJ3Ip4SOM331xo617nBaoMLiSmyHs32VJprMyPVfJ+Hfhf4XFGy2eshEJoanCMOw5Xn9k7Tvb8WlEB9zXsigdfAYrKgDhXRJ6T2fPErn2XTDySJTA+vRA2omSXV04rt0CFiAglrujrQjIjDe8F7inDJYJliRVGy8aIkdSUD9zBbNExmNf0WXC548E5y7ZUwd8wWcHzcMMbM5XbEVZ6ka1brLY9WSxYdYseEAAAgAElEQVSTKTFZ4I4q5gA4CCRzJpRi96ajbdxaccVTTxZkJFx9fX0Cl0CyslX43seR7z00StmNl4QHbwRu3smEiTkg4qCuheN7CfelFj/WPDrpbOpQ46BKyGVJYKOYxD5lk0w740Cn0aE7R/+9/w0vwhi7xbFjkxSYRFHmEyX3zzk9e8ZqE3ly+owfPH2P82GNPwRXCSFn7rUtr88e8NqXPsPLN17l1uKQSdNShYYxCmcXlzx+8pinz5+yPD9nebni9PKE1GxYa+aTk0tQx6Rtyblj3AylB14qTmytkvKeDWQGY7pPboKzTBBR6laQkPAC3UbxKgy9w1UL6tAyaiTIGh96pqFhGhb42jPKmhiT+fMpTL3xtYMqlQhOhFEt6x6jVVtjVrO0TYrgOJgcczh5wLy5Q13NjGXmtlxs32e9esq42TKuBBcrvHoq51DnEfF4MhVaECSPqCflipQdSo33E5xv8WGCFB//LoIrM16dg3p8oSX8cx2GkgkDmT73JgGJI2MWeoXsKTYMOzM9uwY/DTD5uQK3qn4L+NUf809/4Sc8/m8Bf+vnee2rJ2WyjZBBCr8RDC5R76gmwW44CiNjl9mUleWc8OCV28wPW5KOxKFnvV7y/PknbNY973znIU8+Hkg7s6eS0CJXRlL7TFcoQxTYsxlMpVnY8mWuJV6Nj3T1IYppUy7nv+OtljcLDtdUpGL/aW9UsOMf6SKXAuAqg8Mw6qae0VYNa7fl6GjBp157lR988j5JhdnCBDa50BrrpkIqmxOI2KzHqwtnfizOC2hCo1oFUOAAMzDR8n1i5+lAyRweH7CYzTnfnqGazJs52gN9I0yO4cHtBZO25eOLc+rgiUTOxzWrPrPteh7cvEEft2TNjKMwbipkSIXGWLJpjw1w2FHadrytUoVRFYuCIslP2WBdB6RBiT10Sei6xOVGuPGS4/i2sjgW6gp8EUxNJ4m/+Je+xO9/9zk/WH7MWIE0znYztc1Asuw31IyV7MOgxu1WCzqTBYhXul6IO5P0fO173PUIMoRauXPbk1jy8fP3mE8ip6sTVttzGq/Ma2ebTn3Ib37m63zllV9hPr3JchN58uyE9x89RjBvizhGztYDlylD63hpdsCDWw1DXnI+rrg4X4Nree3uS2y6Ld+9/IixT2hNsd21+29facVrFaAUDrY3nn3VOKrWUYeIZmGVTFaeknmGwIg4qN0EzZlGKmpfo65D0wbnS9YeCpLjA654CWUSSW3I9ljWYEwmJnNSGWNk9oBpdYtpe0hCiXnDtnvK5eYjhnFN6gVSMJdMFbwXGucLlKrF81oQNUoxvjavk2BUZBEP3hF8IGejykYSOY1oTLTjderOz3sIIQTEQ9KeIUYkWzkWpMJ5LXTNAjlWAv9/8SoBjOInhp0RldhlhIAPULUmUgAlxmQZ7LVgV1eBG7ePoVZW3ZJhWHP6/Dmby45+C3kQGh+I42j0sV16lK0Rt6OjIZZVppyuPEsKtrtvMvEjv++OgmfmayXz3kdFhNDWiHOkzZb9g/Q6InHtBXX3Bjvo5HoCZLXrG2+9QdtO8HiauiWEniyJPFqlsJjPiGoUJ48w9uY3rKpXp5+VNCppW0Qvhe0gorsdxc6zrFephIODA5q62p9mKs0tHFQLmMyFZlrRD9Z4jJpBKkQd664jJ+VgPqMbt2Sg74U0gJQNTUbLuNN+YfzINfYgtRAmEHfeKmXz3dl3SAk21nyGdVLWzzIfPYEbC8e9B3B0OyPB0ZM4WX7Mb3zlc8w+cLzzySeMN0fSGmOeSKGcOtBKyF5IUuTd0YLQK28It18RukF574eJ5bmdhKara7P7U51wfOg5WiScGxjSyKgnhPAhb9w/43VvrnKtC7x178t85bO/gbopf/C9D3j2fM1i2nI0O0Q0cb685NnJOaerJZf9CZ4nTBc907lSRaUdtnz9ZUXCPe7f+zRn3Yp3f/jUvDQWtgGmCzUe3o5Fs4tNpVJwwYQ0robJTJm3mXnl2WwVn0wM4ypHTpnsEoIv9L4KLy2ZTEzmVLaTeVcIta/xriH4CmVkyFvGMdOn0i8tRUAlEw6md7nZvsa0voHkmiEOrMdTlv37bPqPybotEnjbaMGmVvkgpBRJmhAytauNfDNGVHuSGFXRpYGKFqcRjTZHMmvGebevYrMq25Rf1DT8nIeqw0uFSLKEwTlq8QQ/QeuKUbd0wwrNyTD8n4HG/GIEbmDflRNFysiitDFFVFU76rYugTtboyKVgIg97ebxEffv3KFtatabC9bLE8b1lpkcUIlw+2DF8rije3JhAo/dhUlwhQsYp9nENLr3QRGw3/ex1CCBHV/4KvvnijqnWPa9azIEh69rUrSdeyfN30NEP+mLurZKVDP9MDCmhDjhi1/6YskITSE55AukBGgiHB7N6YYt/Zj3gVvKtdZiSJSjGoNmZM9HLnuF4fo72KQ0Tr3zTGczMp1RJpNhy2SQKfhDwTVwslkxjp4hgcczmRxwcdmVrExZTFu6/pykwtAFo0IWZoru6APXb5CsewokDlxlU1byCDkVHKcsoyzWsPQoWZRUWeVPUnQpfPJe5vz78PovBT71tofQ82T9jMuPNtw7epUny5b61YQcLRgvMhKU49sLbk5vsGbFOH2Ey5HcC3UQ3nzD8/JbGTdTnp85YlkDOyUtO58PZydYBbhzUzlqag4nNzi+reTwh7QsuVVFcgYvSi0R8kM+/Ohd3n+szCcL/sKvfYUH927gQ+JyecHDDz5huzrnu99/n1w94+bxJdUMJCTzf3fCnWPH0ew2x7fvMTx/xJhsUjm1FIte21ykyOd334NgysXaQ1s7qpA5bISblWWxA0rtyuxWlxjZGs9ZPC5F5tUUVaUfVuRqa+rN0vyuXUXQGcHVQCblgSEn+ghjtv5UzGZHO6kOmbpb1DolaMMQB85WH/J88ycQltSV2SrnbLi7uIRvKjQqOY8kMmMaseHTQspCEEHVkXVJ61tUBR0DrQpuiLub2TZttSrfi+Mg/vRM+McfAlrjaWmCCaNyVhvK0ByjYcp6uGCrPZqsCbvXIvyE4xcocO+wC93LynUw6CLMG5qmpnKOkUTKsZR3HieJxazl1776Zd769Bu4SaR/skRT4mC+oOGQzivz+Yybh3M+ebJkL0ravd8uYO0GLuxM+DW/4K/woxxZ2XHOd7iGuCsNCtcCuhN8a2yQtB5KWlju7LJZ7Y9dM4vr9YT9kjWzGTf0sadtGt567XWSCk2oaMKUfjDby9hFNDsOjxdsNhckVYKY4s5RGiS5bCpJ9/MZi7SwvK9e7Rm7f1Ooas902rLNG6JmUqRQ+MDNlPbQVKHLbWSzGVFNzNqG1WZgdblBkylBZ7OG9bghpSLD74rARbBNxLnSVSvZ4CDQXFVFPkBoxMpMvfpulEIGcYorY/5S6RcwYnMlL2HzVHh3FXlwdJtXXq14b3hEl1d8cvEBOLh9fJOXXn6DeXXApG749Kuv8Or9e8Rhw++8/095Z/ltXM68/ZmKN94U4iSxTrIrWJDBoZoKhFR6Fdk2wOO545Ubc16+84D54ZzBv0efT/HBmsopGpe3S8pmPOPjD77Nqy9/jd/8xp/htVdeJmnP6dkTnp0855133+V3vvUH/Mn7H/DmF0BJfHwhzCaWJX80KM9P4M/dmnO7nbDcdIyDNbb3a20Hi6XynSesCe8scM9ac0MUB40LODwygB9H6tJ38EHYxESKmVkbWdQKRHK0+XSigqp9vpgga0DxZAWHKRVNTGP0WydC4xSPpw0TvGvoxoE+nnCy/Jjz7Q/x7ZbWQRbHNsFmm3BZaGpPXQVyFHqJjNtIlyENGe16Jhg04xolV4k+DGz9ANs1tV9QS8O0muBdAO8JLiB4fOXNG+bfNbSpFtO3qkykj4TgcfUU3y7oEiZkI+GCwVcvxIQfc/ziBG4o5Znsd/zdT1UFmqoi+MSQ0n48F6LcujHnq1/+DL/61c9x5+4Net2yvJyxXjuaZkLIQIyIC5ycmasaWa6ZM3EVkCnCH3FXEEku5Ll8Lfkt5bepF8uJi+Fhuwfv6WpOkDrgm0AaR2tmqb3THhn5MbCLyI9bIMoYzcDmpdsvcevwBqKB4D3Tdsp6cOTBjKp8UI5vLdh0a6MaiRn498VYyCb7lPZn2mVYO4c+t9889+XDDpKaVLRtYLWKhk6k8jlrpT4K1G3NaptZbsyqQICLyxFNyTxgxBov83nL02WPEoh9RPt8hQeXyTsSlLoyb4sxYu326nrwdridz2gJ3uKsxB4ye6qc7akCg9o0+MHEJP0ZvPPNjrff+gpv3lzw/sn3OYtriIE4OG49WPDF177I8dEN7t27y6sv32e1uuCD1ff5wfl3eHA88sqRw08Tm9H8ru8fLli8dcTvnnzMam2DaRU1t0oRbhwHfvmtOa+/dJODwxlb9z7jcGa4fDR8fLkU1pee7WbGrclr/Ornf42vfeXrvP7ap3Ae1ucbHj78kH/5e7/PP/rHv8MH33vK4rbQHkA9NTuD2oFWgQ83kXVXMWkPCXVgud6YQljZC6VkV7CkXQC3322oLhwvHLNptnieMmNqjIGkNlbQF0hCB7sG0xomwcaPuexwQRiLDW9KkFToY8Y7pRYb7+alonKRKsfCUIEmlEnouWPQCzb9KRfn55yvnjJZJBpntNYhmUlW18M02YhDG5iQwSvdqHQdxC0wBHICJ9EMqYKt6z5GyFNkqNFemNU1dW0wbVuZx7ix335GKvzj7lqFIQqoJ6n1CnwFddMWWHiL6opQRUJg3zz/accvTuDWKz/snVGOlWBC3TbmtieGU+WsaBbq2vH2Z1/lzbdf4ebdI9qJJ3eJtnaEVtCQWK6WXGzXPHz6hI+fnVvAv+Ztsk9pd1nlLqPGArEWd7IX6HGlQabX5nlKwcbFueIGVho/TnB1BQipH64MiaQ8/8fxbXaw0e68yuNxmFmNwGdeexPnK9IAoW72EEi/ScTB8MjFnTnnmyekIsjJMRtksKMcpnw1o3MHiVxjbrx4TnYOVWWLeUzDPtGlUtrDmsmNlst+YDN0+AAkJfbFk2M3kcCZ3Ws78/Sno1G+NrqfUbmbhC0O6oVwcx7ot4mzMxv4KgW31usnVf7PiW1EXoxOmIo0PJeGoH2HtsnSGFXz8ccXfO+Pz/nNb/wqfdfRd+8Rm0S3veSjZ3/E66+8xt3pfQYST5aXnJyd8OjyE2o3cucYJjNhtUm4Smirinuzz9O7A75TP2a1GdBSBniEV+8v+NU/e597L60JzSdseMiQRlLKxEE4XQqfPMkslxVebvDanTf4xtf+PF//yhd45f59JtWUYVjz+NkTfuv3v80/+Mf/kkfvnVljeeJIFVDDvFYOKsfzMbHpM9Nqwt2DQ2bThVUyyv4733Hid0ydfc+nbLqzKRxMYdIoOQijJJ5t1sTB/OIz0HjQ0STr88ZscitxOBkI1YgGEGcQUC5VbtRMlyKu8rShxfuaNIIf1wTJhGANPS8tKQ6suw9YnvWsLgbbnFNRWmeKo6iYJ4rDnucDGhNBoRWb0pRzpusSOQsuGPGh8UKWxJiEnFpyp+jgGQdwLlLXyryxIcsg9ON+2OvPfWRVVjFTBcG5gdqP1LVH3MgYLxjjiuB7m/QTdnCrjXb7SccvUOAuf+4y4F027IS6rYsJEihmZK4q3Lgx4+XXbnN4c0EXt7Aa6YZzluvn9HHLpr/g4qLjg4dnPHzWMe4yy13Qvv6+5b13VEQo3GmxRXn9/KQoF7Xs1vumZpHO74OJOMQLUsFkAof1hOery6uXKn7PLzTfdpWA6lXWnYFgm1rMCS+Bt15908pMsVFovmTRcTeRvIbDm1M+eriyRmMSNttiA4rYio96LbN+8VJc4zhe/W/JclGljwOKQQOz+xMWNw5YpUs2XUfdOESEfpuKLcHuelrGPDt21K0ypkyOmbzRF2NwhiyKesUFaKoaHTsbj1YWdlAt+hKhcsqkavn0g/u8ev9lDhcHjGng48cfc3Jxxkiil4FV7li7kUEs0JKFtE1893f/hF/6whu89crXuFidkeMpbYDV9jH/53f/Gat+y83j+0zaI56ef8Cz8/eZBqWphH4YyNnsTadhway6z8fPP2F12Vvq7zPBOd549ZA/82v3efB6puc5MQ+MSem2nm475fEp/PFHKy43njvTm7z96uf5D37tG3z5S5/n6GhREoHMarXim9/6Nn//H/1zHn9yZuvHg18I2WWqWjlqYS7C2VrwHRxMFywOj2nbKeKsUWDsFmHnVWP2ybAbOWf9M2U6DQSfTHATYJvgYmUZbO0y09qIVXk006lZUJoikvM+U1eGo4/REiAn2OYhAe8qnHP7xeXUURnuYo/B1nbUgX5cMwzl/nXWHM4544BGBA3KGKChIkhF0ApNUEeYqkB2jFgVkSSDS7gKfAPSVGj0xN4TOyFkqw68yyRRUqUYYSaxHTb8OxMCRRiLX37lEyEMSBXIumaMHZpHpnVF5R3BCyI1yAR49BNf8hcjcJd7excnnBgWpsGaK21b4z04SVC6rgC37i5oFkLPlufLR8SzDd14yuXmhCENrDdrnp5e8oP3Nmy31f5NftJll90iVqN84Uzko9eyZGM1CIRscwpV0E1JVXd4tYJNBRdC8IgkDo6nxPXGSvdsGY7sKG9aGkPAXnZeGqW6Y3e4kj2mTFu1vHT3ZcQFYh4Zhx6y0YnG0Zq7dROYL2ZsNhvArGPHwRXRTS5MN30h+4LCWd8PK37x30Bp2gbnPWO0cWU3jqaon7DsN6y7LVXr8AG6dTZ8c+dmqLbR1XPh7u2aUEVijOTR2zQXtfMCCyKSlWErPF9n0jqhW8fhUeD1N29y+86M4Na4aqB5+YhWDnhw7y0++4WvUVcTmmZK3TR88vhjtpslQQKb7YYnp0/5nX/zf/J7/+a7FL0QkoQnD095548/5N//jV/hzVd+ifz+b7ONiV4i6/VHfPvd3+LW0ae5efASzzfvI+mcWeVwKdhGNXU0NbT+Fmmc8OGHTxg6w22qyvH2Zw75s1+7w51Xenr/iBh7ugFOz2G9PkDTAx6dP+GyWzNvF3zxtc/yl77x6/zKl75ANWnox562CkgaeO/hB/yv//C3+OSjs+KtozYpZuHoc2IYnfm+oLQRHnjPG3df5vDgFiKeIaX9pZZUBGyuJDJlRqlkW/shQBJlREkIlReCKD4oVWUY9KwRJoX9UWBtsgeCKWw1QMSgrmJLghMhVN48giSTymgnr45pmBuVMgSy93SpY9t3bLuCjRcozKNMQmDmatQ5qpDoq0zI5tRHhNR11D6zaCq8OpImYjIbirqFyTzja8W7hqQ1fQdub/aW9+zTFCNDMYbrh44Ybe2y6+BeP35McMk54avWONqV4ENP0q7Ah4nK1bR+xrSpcZKKiNr/6Re6dvxiBG4geEd2Dl8CirrSv/MQWg+SEBlJGkm5NLjmDdknzjdnnKy29OM5WdbEtGEcIs+e9Tz8YeTyFFx9bXf4kSx7J+zYk+TUyijZ+QYoV9BB8RrRGjgoMvhlcXMod8GOky1OEZ/xLnN+sUR22tZdsMzO6lIBxFN54c98/at885u/x1h2iz18pKDOzut4dsR8ckBTTdicL4l9RnRkHJRhDbnP+FDRVrAderwoqXdkTEBiPhJypYzblwD6Inx07chlkbaTBhcCToTFdIan5fHFJduho21NEr1ZJ+PTIldTU3xGKjg8cMynHtXMiJJHsebo/ssoT0gm29+uMgwOh3L7xiFf+txLZH9KnzN17ZlNoA5CO1+x3PyAGJXDwzschvtM5w2+ntM2M16avMkr/YrTi8d8/Mm7bPvI6iIzrIVxk/jjd/6EL/3SW7zy0hc4O/8TztaPkA6G3NMPT3hyMrLeLun1Y24uzPtjdWlzH6sqwxjw+SZn50seP3paxrAp9+5WfOnLLTdfumQIT+mGxGYtPHwOHz2puNEek31i2W+pXMUvf/oL/MVv/Hl++YufpZ22LLsVY7SM7LTb8n/8q2/ynT9416rAYjEsU3CtDWV+cpmpirdHTMor8wM+++ANDg+Pubhc0w1bdvTSHaatO775nk3icM7sJrZ9ostCGMwB0DmYtCYSCRlqccyqGUkjq82WqDbcwO28tDNsR1hv7eXrSkxeLpmU1vQxo87hydRaUYWGqq6gaRnV0eVMzB2X28Q4ZpIKFcpBcMybOfN6YY6TMqDS412N10DOPeKy8aedJzmhTpEZjjFHmqkyn0IO3lwnek8YKiSDDxkpZis5mxiI0gt6/PGH/M3/+q9wOK9oWkGD0BMZ8xYdB5xm+rRmwKCPpMI2OmLumNZNMYFzjGOPpBHNASee2rVU2HmntGVI/Z++Ca/Hy5/6r/8fHXUd+PV/7/O4ynH3+A7f/sPv8c4PPkQB5zw+eMt+sYEF5oktTJqGygtZe06Wn9DFM0KdSTny7OnAh99PnHxoxumh/jFov2DNAScmptmPxLEymqLB2HGEoSS/Xkw1OXXIOu8N+feQR0kcXe3IkmjqQBoG3OivXkSz8V+L17Y45Y23X4c6W9e/YO0G3WgZuJMZ4sjd2/eoQ413jhgTPgSQTL/NxA1ID/PFlOADw5Dw2VlWizWS4s5d7tpleCFW60/4ewzjVhyTakEXlafnlzSSefn2lMOpB6nppp4hOjZ9z2q7ZhNHg/Y9TCYOR0NMNjouDcVr2b+I61/R2BXEZoT+8OEpj//hOW4SCVNhcdNRcUKNUNff5vjIcXRoU7kn1YLK1YSmRgSmzR0m9R3a+cd89TcV5xyrE8/5wwnf/bcbnrx3wvsffMydW5/j7u23GcZnSO65GIQhjvTDKUqmbS45mh2x3SzphrVJ+ytB+gak5eT8EevC0w9BuHMfpsdnRJeIY2J1IXzwzPEHDyO1b5m3NdvNkk038Nl7b/EXv/br/PLnPkM9aVhu1pxfXuIks64CH33wmH/yT/4V3eWIVLYucBAmYpPVg/m8nGdYR9huoKFlNjuiqmu64ZR+7C0ZyLumtBaL2N1iMHgiVDbEY71VmpWjrRQdzaOkmirbAfLGURGopGbMynItxC0sRpNuB1VUhc3WhiBokEITj5ATvjRBh2hOjqLg/IS2nkKokQSNLJCc6Pve8p0iollMJhxUh0zCggGhyysCnsrVVGJrtJo6xjiaktiNHC5abh7V4BKRNaFVcHO6vqbSlraqycEjYoK+vMtsUi6OfSOiHU8f/h7DLDOd1tBM2DrhvDun71bk2DNKz+ASobFNMGlN096mcqA5Gx1Ra0QqvFa04YDWT9Hc0Q0XRN2S0k/Gt+EXJHC3tePmJIPz3GgdNxeBthE2Q8ZXDmcD41B6Uh7JSal9YD6tmU4aYiESd+MWURsbdX6eWZ2b8MbV2XwufrSsESnskELdAmDXyCrWm6X8s0ise/UVoQS/aFihVVfZlJZqMIhUpeSsBI3CMFwztVDM1rUgOEE8n/vC5/jn//s/27M8cOwn3YBNfu7GkaODGwRfk1IkxsSQIv3Y060zGh0uK4ezOX3q6eNoctveONfqBVeView7ZeT1S8I1/P+F61U2EIS+H1mPiWdnS25NAl969WWmM09Pglwj0qBaEePAtrtkM665WK1ZpS3NqLi+ZthNcRkUSWbJqjsgPe+wTPYTUQCSZNbbgsUOmcsEaamwNCx5Mssc3kgc3dhycHzOdAZtU0Rd+Y+MheIT4VAJznEQam7dOmRxPOcP/+Ap7//wh3zmjU8xmdwDaZk0kfWYGXtlPfYEt+LOUUsbAue9ldxVU6oirdiMHWfD06JIhMPjitlBJruR9eA4O7cZme8+U5aD46W50o8dp+sLFtWMP/fL3+Dzb3+WMKu42Gy4OL9ktdkynwROz8/5rW/+W773xx8iSa6GOTv7TiMZvONiUB71yraDzTPl/szxa9SMY2LbbRlTh/eW/UoGjzXyq2PHVGtmk4rJRJm0HSKZj8+gWyfGWSDWRkjPTlh3jnGVmUwyG3rONx3PzpR+MAl8rIWYhSFCTI4wUTQkYjbfkSYJUweyo5T6XfFnfiWVC0wkkIeKhRs5rC/pxoGsMPOB4+aIw+qY2k/YxshWB6qqJlChMduYMCoGBmonzCphEqbWuA6JXjpWw4acKlo3JVce5yESGXXEV4Gqrsnq6EcjRATJTMKGtlpTu55KWrNccBWzxhNUiG6nRKvKwOJILUIdMo6BNG5wknBS46jxWjNxNTl1rOMzurykDuBfaHz96eMXInDnnPjXf/ADLk8GDhYzTroNqTQJq8YxmTY48aCGCZEcxwcVNw4PmE0XxDSwaA9YDc/ZDB39qqI78/QXsdRntvOx0//v6H9BoHJF9rujsZSgjf2eS6d9d4jYTpwFJOreg9mpme1YFMy4JqBVog6BPkVqB+Ow40vbOWhSqAQRx+1bN3FBuTzb7KGUq4HBdi2yV8YYuX/jHk3T0m97xjiw3lyw6Xu6lRryInDzzhHdYPRHLxC3VkmoFtOscC1AX1fx7tVDIDtGd7ag3U5rmknF04sTHp8+Zdv3xEZYjmsefdLz6GRFVodzFdNpy3QSmM88B7Oag2lNTAuGMTKvD+g3K7xC7nZ+LlIEP9fSfSkN4iOgFXRt5l8mZLERYzoqGhOMsOpgfQKPPTRz5eCmcHRTOLwhNNNMqBJN48xLJmXipiOMzzm6e8iXv7rgcnPJ6bOnHN+YMMQbTPyKoymcLpVu5WCamE8iOZ/TD8ZuCAixVy4vN1ysv8dJt8HfzMw08OpbDbdfGnFV4tFjePiJ0teOsy4TRPC+oR+2jHHgsy+/zWdef4PJfMrlZsPp2ZrVxYoxjzRSc/J8xb/47d+lW48lgSibbFlH3RYuApxdwnoFuRdko+g04IjEPrJaXXK52hCawO07c+4/mPPS3QU3Z4dMtKWiMZfGeEq3fo/z1SmrHp4vYRgy28GRN8omKc9OMmmluC6xqsYvO9IAABMWSURBVDdcrBJnl1ffyzAKyISUG3zlSPkSp4mUBKISMAtXByUK2bpBPDmZ0le0xseeCYHDqqKVjHeO2wc3uNXcYeYP8C4w5DVT3zLmZFRe5/DOk6XGSU3taiQ72jAlZ2WtG9Q72mT0sOxqqMFLQqQjBaGqM6FR8BXbIbPuRoJXaic430HVkZ2SpCJLY85+rUfrCbNwiFaH+LamH86Jw4rgPc45UjZfkhCsUgnZUfmRVVxyOS6RyqCu5v8hk6n/V49uTDx6skWSY51WaLhqVFbBM520eGemSKrW7b5794CmDSSNOJdp2xpOhGk65qi6xXJ4hvRn1rtpKpq2oZfVPksxAF0Q5/cez86B946YEyLXAnoJJkaVs4wAdego6DYjcYfNlkwxmLIvSSbUFV3X0VQ1aUgIruQUsrdylQBf/fpXeP+DD0hDepFhgV0I8UJVBUhw9/Z9mqrh5NkzxiHSxyV9v6VfWvbvnXD/wT3OLs6JKdNKYNzY7LudN4sDpHKFAp1f8KYob8lu1LgIVJOKL/3qZ7n14JA/evQuq36LBjiVnstHj9mcZ+LgCrQx4JdbvMs0tXIwcdSh5ubRAYvJlEZq+rMVBzJh7YUwM/zdBSGnMoShDCNQoDn2+NuZ4RTGJ1zxtQeMb5x32LxDywDW7QVsT+Hpd4RmknnwdsWt1zJxFmkao4cNMdMNG4btwIM7L/PG/E1Onj/B+SO6FBh6uLUQDieOZ88SaYRMx3aIpJypaxsa3Cfhoh/46OKUIcK9Wzc4eilw/5Uli+OB07OK77yTyI2gOPohM68CwTXkseOwPuTNl97kaDFn221Zrtcsz5b0XY+Isk4D33rnHb7/3R/itHCvy8XRIjQCSNEhSanUqJNJIcfE0HecLp/x4dP3mS5q/uwXfp0vvPIad28eM5stCCEwxoHVesXy8jkPT85593Tk4XM4W5op02YD3ZDwG1tDY+fZrjKPVop35oOjCocHNiEoiScyJRGIcYsAtZ+hccTrYKZS2SiFHkftp9QyJbgK1UTst4VOOqIpUntrXC7aBUeTI+ZuQRvmpojEuNEp28Ze+Za6asgSCTEQqHDimNRT8IFhzAyxN4tX+b/aO7cfu5KrjP9W1b6dW1/dttt2ZjwZJiFDLmQSIZJIIAgSSEQMPCDlISggeAPE5QEl/AWAEOINCQIIiZBoFIIS5QWQ4A1lQjIhkMyMHU8842m73e22u/vc9rVq8VC7uz2SExKcSdvT+5NavU/1Oeo639l7ndqr1vq+OJgaxxAZj5EatRC3JibeKhpDKUFOVK1QW0uZCho3ENWoNVjjiRKD8Yuk2Xl6g3NkwyFFeYe9vevU9Rg1Jd5brKTEomTWEkcxIkrTVG38aG3L7L0SlUd4IAK3a1XyjA0lYGLb2t8GxBrSNMJKxUH3WWQNy6uLEAXrK/U53lf0zRJnlx9Higx3NmH3Rs7tSU5/NCAd9RnfvH20OSm09cxHQVfCurw1M4DDjbL2WyS4md3V1DFXmAUNaD3oa0ZC6Z64tlusVeyrOOrQvGsTThwsLA95/MmLfPlTXwrpkwMc5HoNmDiIxVdacXr1NE490+kEr0pRTqjmFfVc2xpcWDuzwq3Ji+F/+JgmLw+DGxKCmxjBRrZ12w4NMIelTofpEgELj7/9Ed7+zrdy7c6r7Mx2UQP9hbBKnt4WfAFC2GiidY53zlEXMC2VKJqzV+aM4h4/dCEha2Bo13j0Ykx/WFFUQX9mMpuzP5/S2Aapw3xM6uktKjSG+lZo5w/T84ebq6GEzbcazhzKsFIo+b7wStGwOxeyRWF5CVZWg367M0LlgpnzhTPrjHdf4vr2BlvzGbOJsjwwrC7CzkiYzyr2xpAlSlVLyPvimc0N46nQ1IZMMh49tc5gMKa/4NjfNXzlPxq2x4bRY54yDwJVaRQFqVBJGA2XObO8RhTHTPOC6TSnKqug9a6e7fE2X/7ac+TTst2PIUigikAKw+WItYWGhZ4nHghFJWzehq1bMM4nXNu6StPsMZnc5Cff9V7e+46nOHf2DHFsaaqG+Sxnd+cW13Y2+OaNr3Np6xWubc1p9mBBhdi0qRUJeu/qlTp3qLNMyqC9YR0sDoXVAQySVtejnJJXDWoc/V6CkxjxEVZDHazThjiOEY1I7IBIgpyqcxWTeh+tJ0znFUVV008TFtNlRtkiC71F4ihFIyEv58yaMQUFRV0SkwTDlZh2BRUCd9CZrynqOfNyj3mz39ruVcTSI4qT0KNglcpP8LaCOKZSy9yHO2MjQhLHRMmIxjqIKiTKEVNjLFjtEeuQfn+FhdESJorB9VkYLDMrSspmirqS1MQkNia1PXrpImUdGqYy31C5nLIJd/APfOAOwemgay/sxh+Y3RpriOJW6EWCVZIYQ5RFlK4MNiluhqtqHjnzBGeXn6CYlBTThvWz+9yZXkNVsNYebcIIh/oMtKkFbWtbvYbbT3OQWbl7py60/SGt7ZhOFXKgbqsuWvF8JKzUkzShbhxxbKjvHMh/vva9i4On3vOjbG5vMtmfH6VlDr4wfLsBlVqSKCa2MWvLaxR5SVmUqASbqSoXfB70j0WE/qjPzsYu3gUtj6YgXH2t6/pBSsiZBhuHTVNf+aMqkIN8s0C2knH+8QvkWvLyziazuqS/CKNhxN5WjW9NBgNTraGiNocrZtoN3dIZ8knDe96xxqy6zHxck/VO86YLpxEsVePZn865tn2D/WIcKmsyqA2UDTT13SdN+/m0ufED9QAI/5qGoOKoIBos2aYTw3gs3LrsOfdIzOJZJUqVWJSbe1us77/KufUVvvjiBhv7O0wrzyNjy/qq5/xp4eUtx9a2YXEh5PqDpKwhz0P56sDCymARrxXTaodm7HnxWc/1F8CcccyKsMoXVSIbEYkljgasjFZZWVnGxjF5UeC9I4os3pXk5Yyrm1/jxtYNtAYrHokEl0I2EJbX4ewjnlMrsJopI4E7hWF/CtqutqfTmzSDitPLCRcfvciZc2cQGzHNC+aznL3dfa5uXOXrL32Vzb2reN/wyFKE9B1prMH2rm0OqTxs3VJKx0GSHOqwOMkSITM+dCtXDsWRtO7N4kw4JSSmacAZgyGUZ0USE8sAa2MarWgaparn+MpTVY7E9FjKFlnuLdPPhqRphhNlUuwzqcfkTNkrd/CNspyeIctieqlFMDS1x5U13oVa8lk1o2pmNPUMVYe1njRJ6KWGJAqdZ2Wt7M7v4DNDLQllFZFEGYM0ZpAG+YpGI4ILRUlkFWsSaBTvc9ASdTUOpawmNLqH2HDn4JsC7yDtnyJLThNFQzBCX1OqaUNTbaG2un+z4B8IJJQPQdiMC0pq4Wo01mCNIOJxPmxuVI0nr0vm9RSiGusLIptwamWdhYUV0DH9QZ+m1dzO5zkyO/SNOgqKqqFeSQ42mNouyYNVm971goP8twnde+IFLQgyZoddhgqm1QBphGTBMikrenFMMW9NVw/kPtun99KM97//fTzzuWfIZ+XhKh14TUejSSJUYHXlFP3egK2tbfK8wkaeeT4nnzq0DNZRkkDh5tzeHwcLsLIJm5FNkJw9/BLSNniLw1gbWm3b2uDUGM6eWeX67A4X3naerJ9yafMK13dvkKSwshYx31HK/ZDyCSJKAmoQH/w6DzZWTfs5Nj4CSVlYXWBzq2C3Lojme/QFVpaWyDKLlR6NW8KOHXeaKaU4xMF8CjoN32oH1k6H3pZ6RH8wBNaj9m1/0LkZXGuIlWYOGzcdNyeepaHl9CmDDnKef/m/+ZGL72Z5OKTedJQqXLvjOL9sOLOo3JlCVYWa5CiCKgdXC9OJBy/0YwU358buHbJBTX5duHbFB7NbC6UXfO2DtrUaBsmAvklZX11neWn58Bx0rjWWU8defpkbty9T5GWQuI1D89L6RWH1jDBYUrKRI+uFKqZShe3bwvWbDt8YBqOUtdGAtdECjU1YHIxwtaOY1hRlyd7+Pt965RJfufQcl7eu0l9wnFoyLESenhEiq1RBXQyvnltTZXoTZmqD+W0USgcRKEWZNxCXwtBYenGEiSw1DqwEk28szguOCG0qjEKWpkSSoV7wNGFx5oXIRgx7KYNkiYV4kUE6DEqCrqHyBY2fUfgJs3pC3dTEEhNbCWnV0LdPXRbURYOrlLJR5vWcSbGPc1PiyNAbJWQR9FKLtYaqDns687yhqBWTCImN6cWGNPZBJTEK3ZfqDAZHbITYZEEx0u8zHl+irHeIkz61m9PoDPUFNDUSvPaI7DJRshpUJ7XBSEQkCZlaxBh8dHBC3xsPROA+WDm1V+ORt4CCMXIo5+p9aA8uCsd8OmXUgzIqiXBkUUoUZzSuxOPYL6Zs3rmDCjRVRV7MD/Pmh9oWgOIQDc7yB+7r6JE1lmhYXYXSvKC3TQymlUM92EgMooLt84B4YPGJC4FRwZX+tZ9DmzJ557vewSTf59rL10PX493iMsqRTmkklL5hdXEFFIq8CBoRIjjnqWcN4sGLR4xhZ7LJeJZjBJpZuwpFWxeXNuBJWPGHFLdrzWXB1PC2H34LH/qln+KvPv9PnDt3mp35Nleuv0xZ15xaMVj17N9qRZR86Go1EpMkfap62pZtAq1tlUFwTdxK0FqKqqHCs3W7wJe3WS8bTi/0SeOItZURi8OI7Sxmc3eXxip1AWUd5neYxTm4c2i5FDja1D0s4dRQTxwRlPD67YsjoUa4tekpd+HsowbT7HLj9kssLa2xNsxw+3N8lVJXGaPBnFPDmu2xp2lCtf58DnntmLda5LUKRT2l9g3zfWFnAxonoTMlDZxre+NlvHB2tEISL7C6vMJoOMDYkO7x3pMYoWh22Rk/z6Seo/O2HG9ZeMvbLKvrSjxy5LFQREKCMGuUrbHw/BVPMQt7QSqwtHiWxdFpGhEiMRT5jLJUxuMJ33zlMl984VlevLxBmTlmSzB3ynkDvRTiOFRRVXgKB7dVg1dro9TOIERIbIgTyG3NXtmQRZYhSesk40DrNm+b4lGsjVtn9QqxEEuC0WB24MQFb8ooxSIYE5FK0MKvXR3K9LTBSEMKZBgcPRIbkdqEXpTiacibiqrKqYuGeqrkk4ZpUTFt5pRakKWQipKqkFnB4olshPMJxsQMswGZjYjjPmmcYq0S2QZHgavLIK+gA/qRwbpQSSNeEfHMyxvk9QZJnBLFAyTJwET4psGqIYlGSDSiEktdz4CKwk1JrKXXG+IiQ64NYUX/bWLm3c4zxwURmQCXjnseDwBOATvHPYljRsdBxwF0HAA8qqpr9/rDA7HiBi6p6r0cdk4UROTLJ52HjoOOA+g4+L/wvWsUdujQoUOHY0UXuDt06NDhIcODErj/8rgn8ICg46HjADoOoOPgO+KB2Jzs0KFDhw7fPR6UFXeHDh06dPguceyBW0R+TkQuicgVEfnYcc/n9YKIvElE/l1EXhCRb4jI77TjKyLyryLyzfb38l2v+XjLyyUR+dnjm/33FyJiReSrIvKF9vGJ4kBElkTkMyLyYns+vO8EcvB77XXwdRH5lIhkJ42D+4K2jivH8UNomH0JeDOQAF8DnjzOOb2O73UdeKo9HgGXgSeBPwE+1o5/DPjj9vjJlo8UeKzlyR73+/g+cfH7wD8AX2gfnygOgL8DfqM9ToClk8QBcB64CvTax88Av3qSOLjfn+Necf8YcEVVv6WqFfBp4OljntPrAlXdVNXn2uMJ8ALhBH6acCHT/v7F9vhp4NOqWqrqVeAKga+HGiJyAfh54BN3DZ8YDkRkAfgJ4K8BVLVS1T1OEActIqAnIgf9rDc4eRz8v3Hcgfs88OpdjzfasTc0ROQi8G7gWeCMqm5CCO7A6fZpb1Ru/hz4A15rkXySOHgzcAv42zZd9AkRGXCCOFDV68CfAtcIjrj7qvovnCAO7hfHHbjlHmNv6DIXERkC/wj8rqqOv9NT7zH2UHMjIh8CtlX1K9/tS+4x9lBzQFhpPgX8haq+G5gR0gLfDm84Dtrc9dOEtMc5YCAiH/lOL7nH2EPNwf3iuAP3BvCmux5fINwyvSEhIjEhaH9SVT/bDm+JyHr793Vgux1/I3LzAeAXRORlQlrsp0Xk7zlZHGwAG6r6bPv4M4RAfpI4+BngqqreUtUa+Czwfk4WB/eF4w7c/wk8ISKPiUgCfBj4/DHP6XWBiAghr/mCqv7ZXX/6PPDR9vijwOfuGv+wiKQi8hjwBPClH9R8Xw+o6sdV9YKqXiR81v+mqh/hZHFwE3hVRN7aDn0QeJ4TxAEhRfLjItJvr4sPEvZ8ThIH94VjFZlS1UZEfgv4Z0KFyd+o6jeOc06vIz4A/ArwPyLyX+3YHwJ/BDwjIr9OOKF/GUBVvyEizxAu6gb4TT1yNH6j4aRx8NvAJ9vFyreAXyMsok4EB6r6rIh8BniO8J6+SuiUHHJCOLhfdJ2THTp06PCQ4bhTJR06dOjQ4XtEF7g7dOjQ4SFDF7g7dOjQ4SFDF7g7dOjQ4SFDF7g7dOjQ4SFDF7g7dOjQ4SFDF7g7dOjQ4SFDF7g7dOjQ4SHD/wJR1z/UeZMB6wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_adjusted = img.copy()\n",
    "img_adjusted[293:523, 216:346] = 160 # gray\n",
    "img_adjusted[600:640, 920:960] = 255 # white\n",
    "plt.imshow(img_adjusted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Back to inline images\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Color representations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### With Colormaps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "gray() sets the colormap to \"gray\". Type help(colormaps) and CTRL+ENTER for more information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x21a4f88b610>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.gray()\n",
    "plt.imshow(data)\n",
    "plt.colorbar()\n",
    "# in Matlab: imagesc()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x21a4f918130>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.viridis()\n",
    "plt.imshow(data)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### As RGB (Red-Green-Blue)\n",
    "Images which are represented in full color require a *red*, *green*, and *blue* (=RGB) channel, stacked up in a 3D-array:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 200, 3)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_c = np.zeros((200,200,3), dtype=np.uint8)\n",
    "data_c[10:20, 50:60, 0] = 255\n",
    "data_c[10:20, 70:80, 1] = 255\n",
    "data_c[10:20, 90:100, 2] = 255\n",
    "plt.imshow(data_c)\n",
    "data_c.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Image Manipulations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$R = \\sqrt{x^2 + y^2}$\n",
    "\n",
    "Note that you can use boolean expressions to address areas with specific properties in the image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x21a4f9d2ee0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQEAAAD8CAYAAAB3lxGOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAYLklEQVR4nO3da2xVd3rv8e/juwOOTbg4NsYYBzMzEExJHEMUQsgkR+GkVTIazZyhUhk0ipQ3qTpVK7XJqdSqLyLNOS9GfXPmRdTMHGZ6SZNpo0SjHlWxgQxR2jCknhhs8IXYGAdkY64GjG22n/PCy3SHS2zjvfZee6/fR7L22n+vvdazwfu3/+v2X+buiEh85WW6ABHJLIWASMwpBERiTiEgEnMKAZGYUwiIxFxoIWBmO82sy8x6zezVsNYjIgtjYZwnYGb5QDfw34BB4DfA77t7Z8pXJiILElZPoBnodffP3X0CeAt4MaR1icgCFIS03JXAqaTng8CWu828bNkyr6urC6kUEQH49NNPR9x9+a3tYYWA3aHtS9sdZvYy8DJAbW0thw8fDqkUEQEws5N3ag9rc2AQWJX0vAY4nTyDu7/h7k3u3rR8+W3hJCJpElYI/AZoMLM1ZlYE7ALeD2ldIrIAoWwOuPsNM/tD4N+AfOCn7t4RxrpEZGHC2ieAu/8r8K9hLV9EUkNnDIrEnEJAJOYUAiIxpxAQiTmFgEjMKQREYk4hIBJzCgGRmFMIiMScQkAk5hQCIjGnEBCJOYWASMwpBERiTiEgEnMKAZGYUwiIxJxCQCTmFAIiMacQEIk5hYBIzCkERGJOISAScwoBkZhTCIjEnEJAJOYUAiIxpxAQiTmFgEjMKQREYk4hIBJzCgGRmFMIiMScQkAk5hQCIjE3awiY2U/NbNjMjia1PWBmH5hZT/C4JOl3r5lZr5l1mdlzYRUuIqkxl57A/wV23tL2KtDq7g1Aa/AcM1sP7AI2BK/5iZnlp6xaEUm5WUPA3X8NnL+l+UVgbzC9F/hWUvtb7j7u7n1AL9CcolpFJAT3uk+g0t3PAASPK4L2lcCppPkGg7bbmNnLZnbYzA6fPXv2HssQkYVK9Y5Bu0Ob32lGd3/D3ZvcvWn58uUpLkNE5upeQ2DIzKoAgsfhoH0QWJU0Xw1w+t7LE5Gw3WsIvA/sCab3AO8lte8ys2IzWwM0AIcWVqKIhKlgthnM7B+BHcAyMxsE/gr4EfC2mb0EDADfBXD3DjN7G+gEbgCvuHsipNpFJAVmDQF3//27/OqZu8z/OvD6QooSkfTRGYMiMacQEIk5hYBIzCkERGJOISAScwoBkZhTCIjEnEJAJOYUAiIxpxAQiTmFgEjMKQREYk4hIBJzCgGRmFMIiMTcrOMJSHxNTU1x8eJF3L88TGQikeDKlSuUl5ff9prS0lLuu+++dJUoKaAQEGD6Az86OsqlS5e4fPkyfX19JBIJhoaGbpt3JhTMbh9XdtGiRZSXl1NWVkZ9fT0FBQVUVlaSl5d3x/kl8xQCMTYxMcHIyAhffPEFn3/+OWNjY4yNjc359bf2EABGR0cZHR0F4NixY+Tl5VFeXk5FRQV1dXWsXr2akpISBUKEKARixt0ZHR3l5MmTdHR0cOXKFSYnJ0Nb39TUFBcuXODChQv09/dTUlJCbW0tGzdupLy8nKKiotDWLXOjEIiRkZERPvvsM/r7+5mcnLzjN3mY3J2xsTG6urro7e1lyZIlNDY2Ul9fT2FhYVprkf+iEMhx7s7IyAhHjhyhr6+PiYmJTJcETO9cHBkZYd++fbS3tysMMkghkMMuXLhAW1tbpD78dzIyMsKBAwduhsG6deu0zyCNFAI5yN3p6Oigvb2dS5cuZbqcOZmammJkZIQPP/yQL774gubmZhYvXpzpsmJBIZBjrly5wsGDBzl16hSJRPbd9yWRSNDV1cXQ0BBNTU2sXbtWvYKQKQRySHd3N5988glXrlzJdCkLdvHiRQ4cOEB/fz/bt2+nuLg40yXlLIVAjuju7ubgwYOR3vafrxs3bnDixAkSiQRPP/20giAkCoEsNzExwccff0xvb2+ox/szxd3p6+vj6tWrbNmyhZqamkyXlHN0AVEWGx8fp7W1lWPHjuVkACQbHh6mpaWFU6dOZbqUnKMQyFLj4+Ps37+fkydPZrqUtBkbG6O1tVVBkGIKgSw0MTHBvn376O/vT/tZf5k2EwSDg4OZLiVnKASy0McffxzLAJgxNjZGS0sLly9fznQpOUEhkGW6u7vp7e3NdBkZNzY2xscff8z4+HimS8l6CoEsMnMYMNd3As5Vf38/+/fvVxAskEIgS1y5coVPPvkkp84DWKiZw4ddXV2ZLiWrzRoCZrbKzPab2TEz6zCzHwbtD5jZB2bWEzwuSXrNa2bWa2ZdZvZcmG8gDtydgwcP5sSZgGE4dOgQIyMjmS4ja82lJ3AD+FN3/wawFXjFzNYDrwKt7t4AtAbPCX63C9gA7AR+Ymb5YRQfFx0dHTos9hUmJyf56KOP1Eu6R7OGgLufcff/DKZHgWPASuBFYG8w217gW8H0i8Bb7j7u7n1AL9Cc6sLj4sKFC7S3t2flxUDpNDQ0RGdnZ2yPmCzEvE4bNrM6YDPwCVDp7mdgOijMbEUw20rgP5JeNhi0yTy5O21tbRm7HNjdmZycvHll38w37eTkJOfPn6eysvLmvLW1tSxZsoT8/HwKCtJ/NvrU1BRtbW3U1dVRUVGR9vVnszn/b5nZYuCfgT9298tfcXnnnX5xWzyb2cvAyzD9ByS3GxkZoa+vL+3rnZyc5MSJE3R2dtLW1sbU1BSXLl1iamrqrq9ZtGgRxcXFVFdXs379eh599FHKysrSWDVcv36do0ePsm3btrSuN9vNKQTMrJDpAPh7d/+XoHnIzKqCXkAVMBy0DwKrkl5eA5y+dZnu/gbwBkBTU5P6cHdw5MiRtG7nJhIJent7aWlpoaurixs3bsz5tVevXuXq1aucP3+ejo4O9u/fz7Zt29iyZQv3339/iFV/WU9PDw8//LB6A/MwawjY9Ff+m8Axd/9x0q/eB/YAPwoe30tq/wcz+zFQDTQAh1JZdByksxfg7nR3d9PS0sLx48cXvP/B3Tl79izvvvsuBw8e5Mknn+Txxx9Py0hB6g3M31x6Ak8Au4EjZvbboO1/Mv3hf9vMXgIGgO8CuHuHmb0NdDJ9ZOEVd9derXlwdz777LO09AJGR0c5cOAALS0toZyENDIywrvvvktnZyc7d+5My/iB6g3Mz6wh4O4fceftfIBn7vKa14HXF1BXrI2OjtLf35+W9ezdu5fOzs7Q19XV1cXg4CC7d++msbEx1HVdv36d7u5umpt1UGoudMZgBJ08eTL0U4OvXr3Kz372s7QEQPI6f/7zn3PkyJHQ1zUwMKDTq+dIIRAxExMTdHR0hHq8e3R0lDfffJPjx4+Hto67uXbtGnv37qW9vT3U93ju3LlYjbWwEAqBiBkZGQn19OCZTYBMBMCMa9eu8Ytf/CLUHsHU1BQDAwM6eWgOFAIR88UXX4TWjXV3Dhw4kNZNgLu5evUqv/zlL2/evDQMp0+f1hWGc6AQiJCpqSk+//zz0JY/cxgwKkZGRnjnnXdC+7YeHR1leHh49hljTiEQIaOjo/O6Nfh8JBKJ0A4DLkR7ezsDAwOhLV8hMDuFQIRcunQptBDo7e3N6H6Au5mYmKC1tTW0C6TOnDkTynJziUIgQsIaM29ycpKWlpbIXokYZm9gfHw8cr2fqFEIREhYpwmfOHEi0qPvTExMsH///lBC6ty5cxqQdBYKgYiYmpoK5UPg7nR2ds7rYqBM6Onp4dq1aylfrrtrsJFZKAQi4uLFiwwNDaV8uZOTk7S1taV8ual26dKlUPZZuDs9PT0pX24uUQhERFiHyRKJxFeOAxAlYfVWdMLQV1MI5Liurq6MjUw0X4cOHdIHNgMUAjluYmIia3oC169fz3QJsaQQEIk5hUBEJBKJULrC2XSMPJFIhHKEJKrnR0SFQiAiwrpy8Pz586EsNwzXr18P5YzJa9euKQi+gkIgIsrLy0MZdit5WPCoW7RoUSjjEJaVlZGfr/vf3I1CQCTmFAIiMacQyHG1tbUsWrQo02XMyfr160MfiVhupxDIcUuWLKG4uDjTZcxJNu2/yCUKgYgoLS0N5Rs7Pz+f6urqlC831UpKSlixYsXsM86TmbF06dKULzeXKAQi4r777qO8vDzlyy0oKMiKbvayZctYuTL19601M6qqqlK+3FyiEIiQsG7g+eijj7Js2bJQlp0KeXl5PPXUUxQWFqZ82cXFxRQVFaV8ublEIRAh9fX1oSy3rKws0vfmq6qqYvPmzaEse+nSpWm/O3K2UQhESEFBAXl54fyXbNmyJbK9gR07dnDfffeFsuxs2SmaSQqBCKmsrAxlvwDA/fffz5NPPhnKsheiuro6tF4AwLp160Jbdq5QCERIXl5eqHfSffzxx/na174W2vLnq6SkhBdeeCG0XkBRUVFaboee7RQCEWJm1NXVhbYnf/HixezcuTMSJw+ZGY888ggbNmwIbR0VFRU6PDgHCoGIWb16NSUlJaEtf926dezevTu0b9+5am5u5jvf+U6oF/Y0NDRE/tBoFCgEIqakpITa2trQlm9mNDY2smfPnowFwZYtW9i1a1eoYRf2v2MuUQhEjJmxcePG0C993bhxI9///vfTumlgZjcDIOy99vX19aHtZM01CoEIKi8vZ8mSJaGvZ+PGjezevTsthw5LSkp4/PHH+d73vhd6AOTl5VFbW6tNgTkqyHQBcruioiIaGxvZt29fqOuZ2TRYs2YN77zzDu3t7aHcqKO6upoXXniBDRs2pGVwj8rKSlatWhX6enLFrCFgZiXAr4HiYP5fuvtfmdkDwD8BdUA/8D/c/ULwmteAl4AE8Efu/m+hVJ/D6uvraW9vZ2RkJPR1lZWV8YMf/ICBgQFaW1tTEgZ5eXlUVVWxY8cONm/enLb9D2bGpk2bKCjQ99tczeVfahz4prtfMbNC4CMz+3/At4FWd/+Rmb0KvAr8uZmtB3YBG4BqoMXM1rm7Bnmbh8LCQhobGzlw4EBahgw3M1avXs2ePXsYGBhg//799PT0zPueBSUlJSxbtoynnnoqrR/+GQ8++KB2CM7TrCHg00PgzoyCWRj8OPAisCNo3wscAP48aH/L3ceBPjPrBZqBf09l4XGQzt7AjPz8fNasWUNtbS3Xrl3j+PHj3Lhxg0OHDt28L0AikeD69etf2qm4fv16KisrWbFiBStXrgzlYqC51L5p0yaNJzhPc+ozmVk+8CmwFvg/7v6JmVW6+xkAdz9jZjMXg68E/iPp5YNB263LfBl4GVBy38VMb+DDDz9M+2i5+fn5lJWV8dhjjwGwdevWm79LJBKMjY196Wy8KOyEUy/g3szp6IC7J9z9d4AaoNnMHv6K2e/013DbgPru/oa7N7l70/Lly+dWbQytW7eOtWvXZroMzOzmT0FBAWVlZV9qy7SSkhK2b9+uXsA9mNchQne/yHS3fycwZGZVAMHjcDDbIJC8a7YGOL3gSmPKzGhubg71moJsZ2Zs3bpV/0b3aNYQMLPlZlYRTJcCzwLHgfeBPcFse4D3gun3gV1mVmxma4AG4FCqC4+TxYsX8+ijj2qP912sXr2ahx56KNNlZK25/FVVAXuD/QJ5wNvu/isz+3fgbTN7CRgAvgvg7h1m9jbQCdwAXtGRgYVraGjg5MmTnDhxQnfuTVJaWspjjz2m0YMWYC5HB9qB2y74dvdzwDN3ec3rwOsLrk5uMjO2b99OIpGgr68v0+VEQmlpKc8880xkB0vJFjptOIsUFxfz9NNPhzIqb7bJy8tjx44dOjMwBRQCWaa4uJgtW7ZQWlqa6VIyxsz4+te/rgBIEYVAFqqpqeGZZ56JZRCYGd/4xjfYtm2bDgemiEIgS61atSp2QTATAE888YQCIIUUAlls1apVPPvss7EIgry8vJs9AB0qTS2FQJarqanh29/+NmvWrInEmXthKC0t5bnnntMmQEgUAjng/vvv5+mnn6auri7TpaTczGHAuro6BUBI1K/KETOHD6urqzl06BCTk5OZLmlBZi5tfuyxx3QeQMgUAjmkuLiYxsZGqqur+eijjxgaGkrLWASpVlJSwtatW1m7dm1GLkmOG4VADlq2bBnPP/88nZ2dtLW13RwHIOry8/N58MEH2b59uy4GSiOFQI4qKipi06ZN1NXVcfToUXp6eiIbBmbGgw8+yKZNm6itrdW2f5opBHKYmVFRUcG2bdt4+OGHIxcGeXl5VFZW6sOfYQqBmEgOg+7ubgYGBjh37lxG9hmUlJRQX19PbW0tq1at0nH/DNO/fsxUVFTQ3NzM5s2bOXnyJAMDA5w+fZrR0dFQ11tUVERFRQUNDQ3U1tZSXl6es+c1ZBuFQEwVFhaydu1aHnroIcbHxxkeHmZ4eJgzZ84wPj7OuXPncPd5j10wM9xYcXExS5cupbi4mHXr1rF48WKWLl2qD34EKQRizsxu3rdvZpDOyclJLl++zMTEBD09PbcFQSKR4Nq1a5SVld22vKVLl1JVVUVRUdEdfy/RoxCQ2xQWFt68pXdVVdUd50kkEtqRlyN02rDcEwVA7lAIiMScQkAk5hQCIjGnEBCJOYWASMwpBERiTiEgEnMKAZGYUwiIxJxCQCTmFAIiMacQEIk5hYBIzCkERGJOISAScwoBkZibcwiYWb6ZtZnZr4LnD5jZB2bWEzwuSZr3NTPrNbMuM3sujMJFJDXm0xP4IXAs6fmrQKu7NwCtwXPMbD2wC9gA7AR+YmYahkYkouYUAmZWA/wu8LdJzS8Ce4PpvcC3ktrfcvdxd+8DeoHm1JQrIqk2157A3wB/BiTfqaLS3c8ABI8rgvaVwKmk+QaDNhGJoFlDwMx+Dxh290/nuMw7DSx/2+D1ZvaymR02s8Nnz56d46JFJNXm0hN4AnjBzPqBt4BvmtnfAUNmVgUQPA4H8w8Cq5JeXwOcvnWh7v6Guze5e9Py5csX8BZEZCFmDQF3f83da9y9jukdfvvc/Q+A94E9wWx7gPeC6feBXWZWbGZrgAbgUMorF5GUWMjNR34EvG1mLwEDwHcB3L3DzN4GOoEbwCvunlhwpSISCpvvvebC0NTU5IcPH850GSI5zcw+dfemW9t1xqBIzCkERGJOISAScwoBkZhTCIjEnEJAJOYUAiIxpxAQiTmFgEjMKQREYk4hIBJzCgGRmFMIiMScQkAk5hQCIjGnEBCJOYWASMwpBERiTiEgEnMKAZGYUwiIxJxCQCTmFAIiMacQEIk5hYBIzCkERGJOISAScwoBkZhTCIjEnEJAJOYUAiIxpxAQiTmFgEjMKQREYk4hIBJzCgGRmFMIiMScQkAk5szdM10DZnYWuAqMZLqWOVpG9tQK2VWvag3PandffmtjJEIAwMwOu3tTpuuYi2yqFbKrXtWaftocEIk5hYBIzEUpBN7IdAHzkE21QnbVq1rTLDL7BEQkM6LUExCRDMh4CJjZTjPrMrNeM3s10/UAmNlPzWzYzI4mtT1gZh+YWU/wuCTpd68F9XeZ2XNprnWVme03s2Nm1mFmP4xqvWZWYmaHzOyzoNa/jmqtSevPN7M2M/tV1Gu9Z+6esR8gHzgB1ANFwGfA+kzWFNS1HXgEOJrU9r+BV4PpV4H/FUyvD+ouBtYE7yc/jbVWAY8E02VAd1BT5OoFDFgcTBcCnwBbo1hrUs1/AvwD8Kso/x0s5CfTPYFmoNfdP3f3CeAt4MUM14S7/xo4f0vzi8DeYHov8K2k9rfcfdzd+4Bept9XWrj7GXf/z2B6FDgGrIxivT7tSvC0MPjxKNYKYGY1wO8Cf5vUHMlaFyLTIbASOJX0fDBoi6JKdz8D0x88YEXQHpn3YGZ1wGamv2EjWW/Qvf4tMAx84O6RrRX4G+DPgKmktqjWes8yHQJ2h7ZsO1wRifdgZouBfwb+2N0vf9Wsd2hLW73unnD33wFqgGYze/grZs9YrWb2e8Cwu38615fcoS0r/pYzHQKDwKqk5zXA6QzVMpshM6sCCB6Hg/aMvwczK2Q6AP7e3f8laI5svQDufhE4AOwkmrU+AbxgZv1Mb6Z+08z+LqK1LkimQ+A3QIOZrTGzImAX8H6Ga7qb94E9wfQe4L2k9l1mVmxma4AG4FC6ijIzA94Ejrn7j6Ncr5ktN7OKYLoUeBY4HsVa3f01d69x9zqm/y73ufsfRLHWBcv0nkngeab3aJ8A/iLT9QQ1/SNwBphkOuFfApYCrUBP8PhA0vx/EdTfBfz3NNe6jeluZzvw2+Dn+SjWCzQCbUGtR4G/DNojV+stde/gv44ORLrWe/nRGYMiMZfpzQERyTCFgEjMKQREYk4hIBJzCgGRmFMIiMScQkAk5hQCIjH3/wEKOvZG3sOclgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "myrange = np.arange(-250,250)\n",
    "X,Y = np.meshgrid(myrange, myrange)\n",
    "Z = np.zeros(X.shape)\n",
    "\n",
    "# Iris & pupil\n",
    "R = np.sqrt(X**2+Y**2)   # in Matlab: replace \"**\" with \".^\"\n",
    "Z[R>50]=150\n",
    "Z[R>100] = 255\n",
    "plt.gray()\n",
    "plt.imshow(Z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The only tricky thing in the next step: I use \"int32\" to convert the result to integer (we can only set individual points), and use \"250+...\" to shift things into th middle of our plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x21a4ffbab20>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Eyelids\n",
    "polyPars = np.polyfit([-250, 0, 250], [0, 100, 0], 2)\n",
    "x = np.arange(-250,250)\n",
    "y = np.int32(np.polyval(polyPars, x))\n",
    "\n",
    "lidThickness = 6\n",
    "for ii in range(lidThickness):\n",
    "    Z[ 250 + y+ii, 250 + x] = 1\n",
    "    Z[ 250 - y-ii, 250 + x] = 1\n",
    "\n",
    "# Add a few beauty spots\n",
    "Z[20:40, 20:40] = 0\n",
    "Z[240:250, 240:250] = 255\n",
    "plt.imshow(Z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Saving a Figure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can save the figure to PNG, JPEG, and other formats.\n",
    "\n",
    "**Warning:** compressed image formats, e.g. JPEG, discard information by throwing away image details. Therefore they are not recommended for storing processed image data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Z has the shape (500, 500)\n"
     ]
    }
   ],
   "source": [
    "# Save the figure\n",
    "print('Z has the shape {0}'.format(Z.shape))\n",
    "outFile = 'test.png'\n",
    "plt.imsave(outFile, Z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Loading a Color Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\"data\" has the shape (500, 500, 4)\n"
     ]
    }
   ],
   "source": [
    "# Load the data again\n",
    "# The 4th channel is used to indicate the alpha-transparency.\n",
    "\n",
    "data = plt.imread(outFile)\n",
    "print('\"data\" has the shape {0}'.format(data.shape))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Changing the transparency"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us make the image fade to the right:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x21a4f96b550>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make rows/columns the image size, that go from zero to 1\n",
    "nrows, ncols, nlayers = data.shape\n",
    "alpha_row = np.linspace(1, 0,ncols)\n",
    "alpha_col = np.linspace(1, 0, nrows)\n",
    "\n",
    "# Make coordinate-grids\n",
    "X, Y = np.meshgrid(alpha_row, alpha_col)\n",
    "\n",
    "# Replace the Transparency layer with our *X*-matrix\n",
    "data[:,:,3] = X\n",
    "\n",
    "plt.imshow(data)"
   ]
  },
  {
   "cell_type": "markdown",
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